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C?F?>?___PPT9? ? ???QIf the thing is neither in S nor in P, then it is placed outside of both circles.?RQ?Q? ?????I? ?  ? ?F??7???????TextBox 11"?????PK!??????[Content_Types].xml|??N?0 ??H?C?+jS8 ???@??????:Q????۸ ?????\o????<7p]V??????޷O?(I?'????6??E?=??, ?)?{?Ō4??>?I??)?q???7Uu???D???ހ??Ǐ)??}n?L"M?ᴸ??&g0eS???A)΄2'?;2? WY???u?7??{ɯ?ΒzŘ?q??F??r?????j9K???*?(]????m??Ol???PK!Z?,[? _rels/.relsl??j?0 ??`?`t_??Pƈ?[???>????,??d???gzjǎ???I??'?f#???®??P?b?-\/Ƿ0Z]n?Ln?p__?3????.??iJV K??Q?B?iDžr?L,??Vʌ??/7????р??4?`ANa?r+m?;E/???'3U A??ںv?8??3?/??PK!? ????drs/downrev.xmlD??j?@??2ouc?RW?Bk?'50f?$$;??n5?}??8|???-ף?Ņ?o-+?Mĕ?-? ???k?d??eRp#????sm????!?"J?稠 aȥ?UC??đ??3??j?^???2M??4?r\hp??????k|ueQ??w?n?v?>??2͌R??q?"?ϋy???? [R????Z?G?)?q15"?????PK-!??????[Content_Types].xmlPK-!Z?,[? _rels/.relsPK-!? ????drs/downrev.xmlPK? ??`Y??z$??C?F?>?___PPT9? ? ?m??x? $$?? ??????? ?  s ?@? ?7??????TextBox 12"?????PK!??????[Content_Types].xml|??N?0 ??H?C?+jS8 ???@??????:Q????۸ ?????\o????<7p]V??????޷O?(I?'????6??E?=??, ?)?{?Ō4??>?I??)?q???7Uu???D???ހ??Ǐ)??}n?L"M?ᴸ??&g0eS???A)΄2'?;2? WY???u?7??{ɯ?ΒzŘ?q??F??r?????j9K???*?(]????m??Ol???PK!Z?,[? _rels/.relsl??j?0 ??`?`t_??Pƈ?[???>????,??d???gzjǎ???I??'?f#???®??P?b?-\/Ƿ0Z]n?Ln?p__?3????.??iJV K??Q?B?iDžr?L,??Vʌ??/7????р??4?`ANa?r+m?;E/???'3U A??ںv?8??3?/??PK!?S?T??drs/downrev.xmlD??J1F??!???M?(?6-E?? ???___PPT9? ? ?J???In a Venn diagram, we consider the relationship between two terms, or groups. We overlap each circle to make sure we consider every logical possibility. For any thing in the universe, it will be somewhere on this Venn diagram.?????? ????? ??????idd?H?-̙??????~?___PPT10?^+;[?vD?'? ????=? @B? D?U'? ????=? @B?A??%?,(? ?B? ppt_x?B? ppt_y?+B?#style.visibility?+B?#style.visibility?B? ppt_x?B? ppt_y?+B?#style.visibility?B? ppt_x?B? ppt_y?B? ppt_y?B? ppt_y?B? ppt_y?___PPT9? ? ????Introduction to Venn Diagrams?0 ???  ? ? ?L????@AB(?8Cإ6DE??F?Q?VR?.U?V?X???2???8c????????R6??*?? {?њY??#?|?#??*???40՚??5? *?8;?)?8?R)?8??"??5??)?40 /??*V?3?#ߥ6?|ޥ6 #ޥ6VT?3y? /?*??)??"?R?R?R?R @         `? ?j???????M*??8?1?j?M*? *????0??? *?j?j Freeform 4#"? ?@??? PK!Z?f??[Content_Types].xml??MO? ??&?2W?R=cJ?`??F?0?iK??`????????#̼????v?L??w ?? 9?u????Sq?:??w?`G ???^???i? ??½????K??I??)c/? ?$o??Vj??T??M?R??c??|}0?42????ҥC?ƔM??̏???P??~??*k???a??/8?^??DkH?bL?8e i"K?\????XN\?????6r?co4????y?@?_???;?????o??PK!1?_a?? _rels/.rels???j?0 ??ѽq?C?No?^K? 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J?Wղ6???~Y?|??X? ?k!?${#Kb?q-?#WD?????i?O?pS?G0??r|???^4I???y?M},0??8h??0???K?"?mCm?#U i?k?_B}?Z|?hT?~+#?~c]?*)?\?@??,???F?g?,??(iE??K?3??}?e???%F?`L??$???\??,???0N???t:?a ?)ƈ?(??? ?p?И?0?? ?@.?g:?4q?Ф?0R??O"??ݯp??7???z?|w@Ǯw??ny ft??I4_ù ???[zAo???,y??g??+?R???[??/?ŏ.???S?h@pN?@/~??PK-!Z?f??[Content_Types].xmlPK-!1?_a?? /_rels/.relsPK-!?^B?Z*drs/shapexml.xmlPK-!??????drs/downrev.xmlPK??????? ?<? ?( C ?*?A???Group 12#"?????PK!???9?[Content_Types].xml???N?0?w$???b?P??Ay??}I,???sC??8m(b??:???j??F1cd穖????x먯???????????r?,W??Y??d?i?Z)?[?? 8+???q???????????ZO )iѐM??DgQ?@LO0em#?>?M?f5?G?????B????뙬???]? ?6???-??B?j??͘??6? G?џe?c?ɽ1.? ?ө??~;???q?o?6c?8????j???PK!l???? _rels/.rels???J1?????fۃ?4ۛ?k??5$???&f?j??X\?????|?????iV ?D?6] ?#s0?rz?{%?fog?h?????fw???v$S,?%????򨵸 ??? 斌???6r?ź7Po??^?o +?:x|?[P?si?????X;GI?8Fw??=}?#.?b9`5?Y.Kƥk?@_?n?? L??y?_?de?D?5?O?z????PK!? L ?.drs/groupshapexml.xml?Z[o?6~?? ?qCk?/Fݢ??!k?:?GZ?c/%Hr????;?dӱc)?W?E?L?PY?Y???? ? 4Y'˪??????ji2?S?H????֓\?jQ?8?,Ka?? 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FN ?N?F?>?___PPT9? ? ?o??P?"((?? ??????? ?0 s ?@?@?:??????TextBox 14"?????PK!??????[Content_Types].xml|??N?0 ??H?C?+jS8 ???@??????:Q????۸ ?????\o????<7p]V??????޷O?(I?'????6??E?=??, ?)?{?Ō4??>?I??)?q???7Uu???D???ހ??Ǐ)??}n?L"M?ᴸ??&g0eS???A)΄2'?;2? WY???u?7??{ɯ?ΒzŘ?q??F??r?????j9K???*?(]????m??Ol???PK!Z?,[? _rels/.relsl??j?0 ??`?`t_??Pƈ?[???>????,??d???gzjǎ???I??'?f#???®??P?b?-\/Ƿ0Z]n?Ln?p__?3????.??iJV K??Q?B?iDžr?L,??Vʌ??/7????р??4?`ANa?r+m?;E/???'3U A??ںv?8??3?/??PK!ܱ&???drs/downrev.xmlD??J1E??!???M*?6-"?mQ??~?t3? n&k???|????????Łbr?5?N?&ǝ???????? ??IÉ,?3?L8??܉"?T???PI?K?$ ą?!z?匝4?E?{y?Խ??,X??R?????vm>?S??ܹ?;??o????j|z?i???z_?????S?Li??h??>:???)j(q%? ??_??PK-!??????[Content_Types].xmlPK-!Z?,[? _rels/.relsPK-!ܱ&???drs/downrev.xmlPK? ? P`?N?F?>?___PPT9? ? ????tIn a categorical statement we are saying something about the S circle, specifically whether any region is empty or else has something in it. It can t be both, but we might not know which one it is. 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Ѽucة??x+?&??.亗?ֲQ9?^?,????-X?7)?o72???C}????j??(???ڢ&??*ˑݾ???ҁ?+??'???{h:Q_ ]??ck ?>z5A?QS??4??z?=z(?̂???#?$?jlQ??0??=-? ?N???Z???L???k??????~p??G?D?G??Pfc'u?0pc?l?0?.?g9G?~? s???Ւށ3?? x????????c:#?'M?xz?ACӖ~r?h????/?0Ω?0?ю?S/GxJO?X?x??h?G???@??D???̲???????U]o? ?+?ש?G>?Du??R??l???`? p????N?V?S?=?¹p?=?ܠ}??i?e9F?g?t?ϧ8??IȒ ?+v|R?7?Wڅ??"/?x???i>?G?2??"?_??O?y1 ??lZ?f?????|?~@ Uhⶡ??K??S?'????@?^H?$%?:??Ib???~U?I?:ez?`i6Ik? ??^$y?Γ?p ??k? ȸHg)??Y%x? _?=QbB)?. yb??6?_????E?? ]?? ?6??? P?u?:???t?????PK!0%?B?drs/downrev.xmlt??J?@???!??]??i???m??`k?zM&??l???4o?*??3ߜ3sf??ו?Cc?FKc?IK?Kؾ܍f?Y?t??F??-,?gs?M??q?q?G&??JB?\3f?ke?M??X֘Z9*M?R?:2?+?s?Z??6??U???櫖???$?mU??mm?V?,良???\??p?N????T??(t_k0)-?f&?1?,:;?+???D??4O*1??~?;BΣ??P?+?????D?W?~`a????????w ?????PK-!???9?[Content_Types].xmlPK-!l???? 4_rels/.relsPK-!? L ?.5drs/groupshapexml.xmlPK-!0%?B?? drs/downrev.xmlPK?? ???= ! ?;? ?4 ? ?F??????????TextBox 10?? ??N ?N?F?>?___PPT9? ? ?o??S?"((?? ?????? ?4 ? ?J???X???????Rectangle 13?? 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WY???u?7??{ɯ?ΒzŘ?q??F??r?????j9K???*?(]????m??Ol???PK!Z?,[? _rels/.relsl??j?0 ??`?`t_??Pƈ?[???>????,??d???gzjǎ???I??'?f#???®??P?b?-\/Ƿ0Z]n?Ln?p__?3????.??iJV K??Q?B?iDžr?L,??Vʌ??/7????р??4?`ANa?r+m?;E/???'3U A??ںv?8??3?/??PK!WY,??drs/downrev.xmlD??J1@??!???MY??պ?Hk?`???s3???? >??? g?̗??lO)??%\?0?}PƏ???W??rA??O??a?8??c????i?)#????K? ???0?B$_???R?4r??P???!?C?????4?_?'?????n?K?5?!Vߢ???bz|Vh*??]l?m??T????χ?q??Zc.?$Ը?Z??/??PK-!??????[Content_Types].xmlPK-!Z?,[? _rels/.relsPK-!WY,??drs/downrev.xmlPK???? ? ??,$?XC ?W??3?? ? ?????? ? 4 s ?@?`?X??????TextBox 21"?????PK!??????[Content_Types].xml|??N?0 ??H?C?+jS8 ???@??????:Q????۸ ?????\o????<7p]V??????޷O?(I?'????6??E?=??, ?)?{?Ō4??>?I??)?q???7Uu???D???ހ??Ǐ)??}n?L"M?ᴸ??&g0eS???A)΄2'?;2? WY???u?7??{ɯ?ΒzŘ?q??F??r?????j9K???*?(]????m??Ol???PK!Z?,[? _rels/.relsl??j?0 ??`?`t_??Pƈ?[???>????,??d???gzjǎ???I??'?f#???®??P?b?-\/Ƿ0Z]n?Ln?p__?3????.??iJV K??Q?B?iDžr?L,??Vʌ??/7????р??4?`ANa?r+m?;E/???'3U A??ںv?8??3?/??PK!+????drs/downrev.xmlD?MK1E?B?Cx?;?8h??i?ւ ?]?|?????cLb;??uy??s9???,;PL&x 7c?|??????=???+????%??FS?U8?56?c?S?t?}?yj49L?Г/]??\b츊x,pgy%Ą;4??___PPT9? ? ????In the Venn diagram above, everything is blank. This means that I don t have any information about the relationship between S and P. It does not mean that the areas are empty. A blank space simply means that my information or knowledge about the given area is  empty . The area could be empty, or it could have something in it.?.K? ??J? ????? ??????idd?H?-̙????? ?___PPT10??+???D?'? ????=? @B? 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P`?N?F?>?___PPT9? ? ????Since we are saying something about the subject term, we will concentrate on the S circle. The S circle has two regions, one which is outside of P, and one which is inside of P. We can say about a region that it is either empty, or that it has something in it. So, that gives us a total of four things we can say. Let s number each region. ?VU?U? ????? ??????idd?H?-̙????A ?9 ?___PPT10? +|???D? '? ????=? @B? D?H '? ????=? @B?A??%?,(? ?B? ppt_x?B? ppt_y?+B?#style.visibility?+B?#style.visibility?B? ppt_x?B? ppt_y?+B?#style.visibility?___PPT9? ? ????Introduction to Venn Diagrams?0 ???  ?< ? ?L????@AB(?8Cإ6DE??F?Q?VR?.U?V?X???2???8c????????R6??*?? {?њY??#?|?#??*???40՚??5? *?8;?)?8?R)?8??"??5??)?40 /??*V?3?#ߥ6?|ޥ6 #ޥ6VT?3y? /?*??)??"?R?R?R?R @         `? ?j???????M*??8?1?j?M*? *????0??? *?j?j Freeform 4#"? ?@??? 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Ɏ?PrCB9F?? ?>?ǐ??ͮ???7$2٨kuǪ??mx?I?????bd?GnHb??$Tw ?nH(???7$?غPM? [ύ????ڔ???Ƞ??Dt\???cx???5J{??? -A?=?C?L?y?????????U]o? ?+?ש??bDZ?JM?n?5??',?]?_? 8YRuO??? ?r??k??pV????P?4?gY?'?_H???i?=??Q^?>?xZd??0?B?w?F?`X??=???>??'h???$?.??0R? l?I??)?q???7Uu???D???ހ??Ǐ)??}n?L"M?ᴸ??&g0eS???A)΄2'?;2? WY???u?7??{ɯ?ΒzŘ?q??F??r?????j9K???*?(]????m??Ol???PK!Z?,[? _rels/.relsl??j?0 ??`?`t_??Pƈ?[???>????,??d???gzjǎ???I??'?f#???®??P?b?-\/Ƿ0Z]n?Ln?p__?3????.??iJV K??Q?B?iDžr?L,??Vʌ??/7????р??4?`ANa?r+m?;E/???'3U A??ںv?8??3?/??PK!=ԇ???drs/downrev.xmlD??J1FC?i? ?tmZJ?ւ?]??fv?I?$v?oo?B/?3??3_?e' ?x'a:??U^?H8|?___PPT9? ? ?a???We can say about region one either that it is empty, or that it has something in it. To say that it is empty, we shade in the entire region. Click the mouse to fill in area 1. Click again to see what it looks like to say that region 1 is not empty.?????? ?????? ? @ s ?@???Z??????TextBox 21"?????PK!??????[Content_Types].xml|??N?0 ??H?C?+jS8 ???@??????:Q????۸ ?????\o????<7p]V??????޷O?(I?'????6??E?=??, ?)?{?Ō4??>?I??)?q???7Uu???D???ހ??Ǐ)??}n?L"M?ᴸ??&g0eS???A)΄2'?;2? WY???u?7??{ɯ?ΒzŘ?q??F??r?????j9K???*?(]????m??Ol???PK!Z?,[? _rels/.relsl??j?0 ??`?`t_??Pƈ?[???>????,??d???gzjǎ???I??'?f#???®??P?b?-\/Ƿ0Z]n?Ln?p__?3????.??iJV K??Q?B?iDžr?L,??Vʌ??/7????р??4?`ANa?r+m?;E/???'3U A??ںv?8??3?/??PK!Ĺ????drs/downrev.xmlD??J1E??????&?XdlZD??"Hk??9y3???Il?op??˽?˙-F?āb??5\O?&˝???????? ????D ???&yC?m?D?p?QC??PK????___PPT9? ? ?m??x? $$?? ??????? ?@ s ?@???Z??????TextBox 20"?????PK!??????[Content_Types].xml|??N?0 ??H?C?+jS8 ???@??????:Q????۸ ?????\o????<7p]V??????޷O?(I?'????6??E?=??, ?)?{?Ō4??>?I??)?q???7Uu???D???ހ??Ǐ)??}n?L"M?ᴸ??&g0eS???A)΄2'?;2? WY???u?7??{ɯ?ΒzŘ?q??F??r?????j9K???*?(]????m??Ol???PK!Z?,[? _rels/.relsl??j?0 ??`?`t_??Pƈ?[???>????,??d???gzjǎ???I??'?f#???®??P?b?-\/Ƿ0Z]n?Ln?p__?3????.??iJV K??Q?B?iDžr?L,??Vʌ??/7????р??4?`ANa?r+m?;E/???'3U A??ںv?8??3?/??PK!? ~??drs/downrev.xmlD??J1E??!??o6iA?i?"?Z B???L?L???Il?o??>n?fm?|98??? ^?d,??o?2??p:?=?K?B???X???Ѩ=?LQB?+?E????PK-!??????[Content_Types].xmlPK-!Z?,[? _rels/.relsPK-!? ~??drs/downrev.xmlPK? ? P`??z$? C?F?>?___PPT9? ? ????To show that area two is empty, we can shade it. Click the mouse to show that area 2 is empty. Click the mouse again to show that area 2 is not empty.?????? ?????D? ?@ s ?@???Z??????TextBox 25"?????PK!??????[Content_Types].xml|??N?0 ??H?C?+jS8 ???@??????:Q????۸ ?????\o????<7p]V??????޷O?(I?'????6??E?=??, ?)?{?Ō4??>?I??)?q???7Uu???D???ހ??Ǐ)??}n?L"M?ᴸ??&g0eS???A)΄2'?;2? WY???u?7??{ɯ?ΒzŘ?q??F??r?????j9K???*?(]????m??Ol???PK!Z?,[? _rels/.relsl??j?0 ??`?`t_??Pƈ?[???>????,??d???gzjǎ???I??'?f#???®??P?b?-\/Ƿ0Z]n?Ln?p__?3????.??iJV K??Q?B?iDžr?L,??Vʌ??/7????р??4?`ANa?r+m?;E/???'3U A??ںv?8??3?/??PK!?58??drs/downrev.xmlD??J1E??????&VdlZD??"Hk??9y3???Il?op??˽?˙-F?āb??5\O?&˝???????? ????D ???&yC?m?D?p?QC??PK????___PPT9? ? ?m??x? $$?? ????? ??????idd?H?-̙????Y?Q?___PPT10?1+???ID?5'? ????=? @B? D??'? ????=? @B?A??%?,(? ?B? ppt_x?B? ppt_y?+B?#style.visibility?+B?#style.visibility?+B?#style.visibility?B? ppt_x?B? ppt_y?+B?#style.visibility?+B?#style.visibility?+B?#style.visibility?'B?style.rotation?'B?style.rotation?B? ppt_y?B? ppt_y?B? ppt_y?0e????0e????????????Title 1?? `}?j? ???? C?F?>?___PPT9? ? ????Introduction to Venn Diagrams?0 ???  ?D ? ?L????@AB(?8Cإ6DE??F?Q?VR?.U?V?X???2???8c????????R6??*?? {?њY??#?|?#??*???40՚??5? *?8;?)?8?R)?8??"??5??)?40 /??*V?3?#ߥ6?|ޥ6 #ޥ6VT?3y? /?*??)??"?R?R?R?R @         `? ?j???????M*??8?1?j?M*? *????0??? *?j?j Freeform 4#"? ?@??? PK!Z?f??[Content_Types].xml??MO? ??&?2W?R=cJ?`??F?0?iK??`????????#̼????v?L??w ?? 9?u????Sq?:??w?`G ???^???i? ??½????K??I??)c/? ?$o??Vj??T??M?R??c??|}0?42????ҥC?ƔM??̏???P??~??*k???a??/8?^??DkH?bL?8e i"K?\????XN\?????6r?co4????y?@?_???;?????o??PK!1?_a?? _rels/.rels???j?0 ??ѽq?C?No?^K? [ILc?X&m߾?0XFo;??>????0???x??M ??e??`??|X}?????đ ?I`߽??N4a?G2?$?R?KI?Z?)?4?(?M?9`?ctB{????m?:?f@?`??3??n?|O?????,ܗ?r???޾?j??x??R0T ?,?0????@?????}W?B?L??Ǭ5v??PK!~?"??Zdrs/shapexml.xml?XMo?8?/????q??a??[4?{??N??#-S?6%H?????q?R?6??7?!?????????\?U?d?^z?;?J'?&?wK??????M+?F?VK?Q5?????Z4???n??۶m???d? ټ++?1??u![|?w??V?ҭlT????Q!3?}?Rz??nj3J??oj?m???Z????2+??7?"F?????%ZJ.)t?By???Z>?????2M??????G|???ၱG.ԡ ?p?wO$??0m??ql?MvM??*??,??nZ2?n??Y?ncC??Z7Y???5i????F?"?FѬ3?'?]?`:???/?"????K??1??'??0??3?Ϣ?d'tp?Y??h?U ?1"# &?0? c?J??|h?Ѧ?@?oO?*>??O)p̚/?????|{???w??~x7??/x?!?V?qn?!???A?%?? ???F????]?????N?J_|[?a? ?s?9??/?얞?y???{08S????j?? '??q?[%#?*4??????0???x??M ??e??`??|X}?????đ ?I`߽??N4a?G2?$?R?KI?Z?)?4?(?M?9`?ctB{????m?:?f@?`??3??n?|O?????,ܗ?r???޾?j??x??R0T ?,?0????@?????}W?B?L??Ǭ5v??PK!?^B?Zdrs/shapexml.xml?XKo?8?/????q???-٨S4?{ #N??#-S?6)H????w8C?T??&=??93߼???/??`{Q7?? /??{L?Tmry??~?]_$k4?^()ޓh?/??????7f?̫??պ??FM?%o>?JH??T]r ?????E#????b??tT?\z? J?Wղ6???~Y?|??X? ?k!?${#Kb?q-?#WD?????i?O?pS?G0??r|???^4I???y?M},0??8h??0???K?"?mCm?#U i?k?_B}?Z|?hT?~+#?~c]?*)?\?@??,???F?g?,??(iE??K?3??}?e???%F?`L??$???\??,???0N???t:?a ?)ƈ?(??? ?p?И?0?? ?@.?g:?4q?Ф?0R??O"??ݯp??7???z?|w@Ǯw??ny ft??I4_ù ???[zAo???,y??g??+?R???[??/?ŏ.???S?h@pN?@/~??PK-!Z?f??[Content_Types].xmlPK-!1?_a?? /_rels/.relsPK-!?^B?Z*drs/shapexml.xmlPK-!??????drs/downrev.xmlPK??????? ?<? ?D C ?*?A???Group 12#"?????PK!???9?[Content_Types].xml???N?0?w$???b?P??Ay??}I,???sC??8m(b??:???j??F1cd穖????x먯???????????r?,W??Y??d?i?Z)?[?? 8+???q???????????ZO )iѐM??DgQ?@LO0em#?>?M?f5?G?????B????뙬???]? ?6???-??B?j??͘??6? G?џe?c?ɽ1.? ?ө??~;???q?o?6c?8????j???PK!l???? _rels/.rels???J1?????fۃ?4ۛ?k??5$???&f?j??X\?????|?????iV ?D?6] ?#s0?rz?{%?fog?h?????fw???v$S,?%????򨵸 ??? 斌???6r?ź7Po??^?o +?:x|?[P?si?????X;GI?8Fw??=}?#.?b9`5?Y.Kƥk?@_?n?? L??y?_?de?D?5?O?z????PK!? L ?.drs/groupshapexml.xml?Z[o?6~?? ?qCk?/Fݢ??!k?:?GZ?c/%Hr????;?dӱc)?W?E?L?PY?Y???? ? 4Y'˪??????ji2?S?H????֓\?jQ?8?,Ka?? Ǐ?8r?o??AN?D??D?ey?e?A?ѣ4_m ???c?H'??]? ?X?|ˍ????b+Z7B?????F?&?A??Szp?5Ro5?D}դ??7?N?HW??b?l???/5N?Õ?Xy???.?ȍl?D?t۵|' ???????6 ?0?N??ލ?;??a}???q????=????@xQ{{?(??V;n?????핔?Ds'ad0?-dilX?????????G–???İ}???5?àub??????Im ?IM???i?#?4? ?u??&?%{?Ffc?Ɯr7??Ȃ???(? I^?????M+?,??W?ܣ& )[?gl??Y?,'????~??3??e?~s?r???Az?X?)\M?^??D?S>?b???Ȍm?J?(x??8?g%?QJ?!????-??4Rt?D3 ?9??d.?"@??b\$t??H.q?˶? ?^?u??8?vm]???? ??????h?=???}????d9?_?????#???f?T9?4>?~??&???%+?l?,?E???Pb?????ч??l??@???%??n?eA ???rd7???jXt5zt?4?????g,]????U<]P??E~Y????t>??l(r ???R??P?ݸ??*?Э,???Ւ?n?R?F}W?Kp??3?*??Gp?`?35?T&???06ҕGG? Ѽucة??x+?&??.亗?ֲQ9?^?,????-X?7)?o72???C}????j??(???ڢ&??*ˑݾ???ҁ?+??'???{h:Q_ ]??ck ?>z5A?QS??4??z?=z(?̂???#?$?jlQ??0??=-? ?N???Z???L???k??????~p??G?D?G??Pfc'u?0pc?l?0?.?g9G?~? s???Ւށ3?? x????????c:#?'M?xz?ACӖ~r?h????/?0Ω?0?ю?S/GxJO?X?x??h?G???@??D???̲???????U]o? ?+?ש?G>?Du??R??l???`? p????N?V?S?=?¹p?=?ܠ}??i?e9F?g?t?ϧ8??IȒ ?+v|R?7?Wڅ??"/?x???i>?G?2??"?_??O?y1 ??lZ?f?????|?~@ Uhⶡ??K??S?'????@?^H?$%?:??Ib???~U?I?:ez?`i6Ik? ??^$y?Γ?p ??k? ȸHg)??Y%x? _?=QbB)?. yb??6?_????E?? ]?? ?6??? P?u?:???t?????PK!0%?B?drs/downrev.xmlt??J?@???!??]??i???m??`k?zM&??l???4o?*??3ߜ3sf??ו?Cc?FKc?IK?Kؾ܍f?Y?t??F??-,?gs?M??q?q?G&??JB?\3f?ke?M??X֘Z9*M?R?:2?+?s?Z??6??U???櫖???$?mU??mm?V?,良???\??p?N????T??(t_k0)-?f&?1?,:;?+???D??4O*1??~?;BΣ??P?+?????D?W?~`a????????w ?????PK-!???9?[Content_Types].xmlPK-!l???? 4_rels/.relsPK-!? L ?.5drs/groupshapexml.xmlPK-!0%?B?? drs/downrev.xmlPK?? ???= ! ?;? ?D ? ?F??T>???????TextBox 10?? ??N ?N?F?>?___PPT9? ? ?o??S?"((?? ?????? ?D ? ?J??V>???????Rectangle 13?? FN ?N?F?>?___PPT9? ? ?o??P?"((?? ??????? ?D s ?@??W>??????TextBox 15?? ? ?W??1?? ? ??????? ? D s ?@?Y>??????TextBox 16?@  c ?W??2?? ? ??????? ? D s ?@? Z>??????TextBox 17??? ? ? ?W??3?? ? ?????? ? D s ?@?@[>??????TextBox 20"?????PK!??????[Content_Types].xml|??N?0 ??H?C?+jS8 ???@??????:Q????۸ ?????\o????<7p]V??????޷O?(I?'????6??E?=??, ?)?{?Ō4??>?I??)?q???7Uu???D???ހ??Ǐ)??}n?L"M?ᴸ??&g0eS???A)΄2'?;2? WY???u?7??{ɯ?ΒzŘ?q??F??r?????j9K???*?(]????m??Ol???PK!Z?,[? _rels/.relsl??j?0 ??`?`t_??Pƈ?[???>????,??d???gzjǎ???I??'?f#???®??P?b?-\/Ƿ0Z]n?Ln?p__?3????.??iJV K??Q?B?iDžr?L,??Vʌ??/7????р??4?`ANa?r+m?;E/???'3U A??ںv?8??3?/??PK!? ~??drs/downrev.xmlD??J1E??!??o6iA?i?"?Z B???L?L???Il?o??>n?fm?|98??? ^?d,??o?2??p:?=?K?B???X???Ѩ=?LQB?+?E????PK-!??????[Content_Types].xmlPK-!Z?,[? _rels/.relsPK-!? ~??drs/downrev.xmlPK? ? P`??N?F?>?___PPT9? ? ????To show that area two is empty, we can shade it. Click the mouse to show that area 2 is empty. Click the mouse again to show that area 2 is not empty.?????? ?????? ? D s ?@?`\>??????TextBox 25"?????PK!??????[Content_Types].xml|??N?0 ??H?C?+jS8 ???@??????:Q????۸ ?????\o????<7p]V??????޷O?(I?'????6??E?=??, ?)?{?Ō4??>?I??)?q???7Uu???D???ހ??Ǐ)??}n?L"M?ᴸ??&g0eS???A)΄2'?;2? WY???u?7??{ɯ?ΒzŘ?q??F??r?????j9K???*?(]????m??Ol???PK!Z?,[? _rels/.relsl??j?0 ??`?`t_??Pƈ?[???>????,??d???gzjǎ???I??'?f#???®??P?b?-\/Ƿ0Z]n?Ln?p__?3????.??iJV K??Q?B?iDžr?L,??Vʌ??/7????р??4?`ANa?r+m?;E/???'3U A??ںv?8??3?/??PK!?58??drs/downrev.xmlD??J1E??????&VdlZD??"Hk??9y3???Il?op??˽?˙-F?āb??5\O?&˝???????? ????D ???&yC?m?D?p?QC??PK????___PPT9? ? ?m??x? $$?? ?????? ? D s ?@??]>??????TextBox 19"?????PK!??????[Content_Types].xml|??N?0 ??H?C?+jS8 ???@??????:Q????۸ ?????\o????<7p]V??????޷O?(I?'????6??E?=??, ?)?{?Ō4??>?I??)?q???7Uu???D???ހ??Ǐ)??}n?L"M?ᴸ??&g0eS???A)΄2'?;2? WY???u?7??{ɯ?ΒzŘ?q??F??r?????j9K???*?(]????m??Ol???PK!Z?,[? _rels/.relsl??j?0 ??`?`t_??Pƈ?[???>????,??d???gzjǎ???I??'?f#???®??P?b?-\/Ƿ0Z]n?Ln?p__?3????.??iJV K??Q?B?iDžr?L,??Vʌ??/7????р??4?`ANa?r+m?;E/???'3U A??ںv?8??3?/??PK!?P??drs/downrev.xmlD??J1E??!???M,TdmZ?TkA??~?t3? ?L?$m?o?A???\?t>?N?(&X??H? ??q?j?}??=?H?`?4\(?|v}5?ʄ3o?ͭ(Nj?9??????1?BO\?&D????J?\ྒྷc??G?e?bOϖ????5?w??|?'?u?s?wJ???R?ۛa?"Ӑ??'Ǽ????_ԛ?0.*?겏?l0e?ʥ?M????PK-!??????[Content_Types].xmlPK-!Z?,[? _rels/.relsPK-!?P??drs/downrev.xmlPK? ? P`?z$? C?F?>?___PPT9? ? ???USo, there are four things we can say about S in comparison to P. We can say that the area of S outside of P is empty, or that it has something in it. We could also say that the area of S inside of P is either empty or has something in it. Each one of these statements has a simple English counterpart, which we will see in the next slide.?VU?U? ????? ??????idd?H?-̙????? ?? ?___PPT10?? +??$D?? '? ????=? @B? D? '? ????=? @B?A??%?,(? ?B? ppt_x?B? ppt_y?+B?#style.visibility?+B?#style.visibility?+B?#style.visibility?B? ppt_x?B? ppt_y?___PPT9? ? ????Introduction to Venn Diagrams?0 ???  ?H ? ?L????@AB(?8Cإ6DE??F?Q?VR?.U?V?X???2???8c????????R6??*?? {?њY??#?|?#??*???40՚??5? *?8;?)?8?R)?8??"??5??)?40 /??*V?3?#ߥ6?|ޥ6 #ޥ6VT?3y? /?*??)??"?R?R?R?R @         `? ?j???????M*??8?1?j?M*? *????0??? *?j?j Freeform 4#"? ?@??? PK!Z?f??[Content_Types].xml??MO? ??&?2W?R=cJ?`??F?0?iK??`????????#̼????v?L??w ?? 9?u????Sq?:??w?`G ???^???i? ??½????K??I??)c/? ?$o??Vj??T??M?R??c??|}0?42????ҥC?ƔM??̏???P??~??*k???a??/8?^??DkH?bL?8e i"K?\????XN\?????6r?co4????y?@?_???;?????o??PK!1?_a?? _rels/.rels???j?0 ??ѽq?C?No?^K? 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