[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-484598-105":59,"doc-detail-484598-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","reading-a-venn-diagram-answer-key-484598","Reading a Venn Diagram - Answer Key","","Practice problems and solution key for interpreting a Venn diagram representing ownership of three video game consoles: Playstation (P), Xbox (X), and WiiU (W). Questions ask for counts in each circle, counts for “only” ownership within each set, and results for set operations including union (X∪W), intersection (W∩X), and difference (W-X). The answer key provides the corresponding sets and numeric solutions for all items.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/reading-a-venn-diagram-answer-key-484598/484598/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/reading-a-venn-diagram-answer-key-484598/484598.png","ImageObject",300,407,{"name":92,"@type":93},"PakDamar76","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-06","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What do P, X, and W represent in the worksheet?","Question",{"text":112,"@type":113},"P, X, and W represent the three sets of people who owned a Playstation, an Xbox, and a WiiU, respectively.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you answer questions like “ONLY a Playstation”?",{"text":117,"@type":113},"Compute the elements in P that are not in X or W, i.e., the part of P outside the other circles.",{"name":119,"@type":110,"acceptedAnswer":120},"What do the set operations X∪W, W∩X, and W-X mean?",{"text":121,"@type":113},"X∪W is the union of X and W, W∩X is the overlap between W and X, and W-X is the part of W excluding any elements that are also in X.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},484598,1792832993,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39,"preview_page_count":4},962090893057,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Reading a Venn Diagram  \nName:  \n\n| Solve each problem.\u003Cbr>\u003Cbr>P X\u003Cbr>Amy Tom Roger\u003Cbr>Paige Dave\u003Cbr>Mike Sam\u003Cbr>Paul Rachel\u003Cbr>Emily Nancy\u003Cbr>W\u003Cbr>1) How many people owned a Playstation?\u003Cbr>2) How many people owned a Xbox?\u003Cbr>3) How many people owned a WiiU?\u003Cbr>4) How many people owned ONLY a Playstation?\u003Cbr>5) How many people owned ONLY a Xbox?\u003Cbr>6) How many people owned ONLY a WiiU?\u003Cbr>7) X∪W =  8) W∩X =  9) W-X =  |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  Use Line \u003Cbr>8.  Use Line \u003Cbr>9.  Use Line \u003Cbr>10.  Use Line \u003Cbr>11.  Use Line \u003Cbr>12.  Use Line \u003Cbr>13.  Use Line  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 10) | (P∩W)-X =  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | (P∪W)-X =  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | W =  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 13) | XPW =  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 5 | 1-10\u003Cbr>11-13 | 92 | 85 | 77 | 69 |  | 62 | 54 | 46 | 38 | 31 | 23 |\n|  |  |  |  |  | 15 | 8 | 0 |  |  |  |  |  |  |  |  |\n\nReading a Venn Diagram  \nName: Answer Key  \n\n| Solve each problem.\u003Cbr>\u003Cbr>P X\u003Cbr>Amy Tom Roger\u003Cbr>Paige Dave\u003Cbr>Mike Sam\u003Cbr>Paul Rachel\u003Cbr>Emily Nancy\u003Cbr>W\u003Cbr>1) How many people owned a Playstation?\u003Cbr>2) How many people owned a Xbox?\u003Cbr>3) How many people owned a WiiU?\u003Cbr>4) How many people owned ONLY a Playstation?\u003Cbr>5) How many people owned ONLY a Xbox?\u003Cbr>6) How many people owned ONLY a WiiU?\u003Cbr>7) X∪W = {Dave,Emily,Mike,Nancy,Paul,Rachel,Roger,Sam,Tom} \u003Cbr>8) W∩X = {Rachel,Sam} \u003Cbr>9) W-X = {Emily,Mike,Nancy,Paul}  |  |  |  |  |  |  |  |  | Answers 1.  6  2.  5  3.  6  4.  2  5.  1  6.  2  7.  Use Line  8.  Use Line  9.  Use Line  10.  Use Line \u003Cbr>11.  Use Line \u003Cbr>12.  Use Line \u003Cbr>13.  Use Line  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 10) | (P∩W)-X = {Mike,Paul}  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | (P∪W)-X = {Amy,Emily,Mike,Nancy,Paige,Paul}  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | W = {Emily,Mike,Nancy,Paul,Rachel,Sam}  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 13) | XPW = {}  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 5 | 1-10\u003Cbr>11-13 | 92 | 85 | 77 | 69 | 62 | 54 | 46 | 38 | 31 | 23 |\n|  |  |  |  |  | 15 | 8 | 0 |  |  |  |  |  |  |  |\n\nReading a Venn Diagram  \nName:  \n\n| Solve each problem.\u003Cbr>\u003Cbr>P X\u003Cbr>Amy Tom Roger\u003Cbr>Paige Dave\u003Cbr>Mike Sam\u003Cbr>Paul Rachel\u003Cbr>Emily Nancy\u003Cbr>W\u003Cbr>1) How many people owned a Playstation? |  |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  Use Line \u003Cbr>8.  Use Line \u003Cbr>9. Use Line |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | How many people owned a Xbox? |  |  |  |  |  |  |  |  |  |  |\n| 3) | How many people owned a WiiU? |  |  |  |  |  |  |  |  |  |  |\n| 4) | How many people owned ONLY a Playstation? |  |  |  |  |  |  |  |  |  |  |\n| 5) | How many people owned ONLY a Xbox? |  |  |  |  |  |  |  |  |  |  |\n| 6) | How many people owned ONLY a WiiU? |  |  |  |  |  |  |  |  |  |  |\n| 7) | X∪W =  |  |  |  |  |  |  |  |  |  |  |\n| 8) | W∩X =  |  |  |  |  |  |  |  |  |  |  |\n| 9) | W-X =  |  |  |  |  |  |  |  |  |  |  |\n|  | 5 | 1-9 |  89  |  78  |  67  |  56  |  44  |  33  |  22  | \u003Cbr>11 | \u003Cbr>0 |\n\nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nMath","cbCaiuB6wgnPndcm","https://ap.wps.com/l/cbCaiuB6wgnPndcm","pdf",43069,"English","# Solve each problem\n## Count people in each set and “only” sets\n## Compute X∪W, W∩X, and W-X\n## Evaluate (P∩W)-X, (P∪W)-X, W, and XPW","[{\"question\":\"What do P, X, and W represent in the worksheet?\",\"answer\":\"P, X, and W represent the three sets of people who owned a Playstation, an Xbox, and a WiiU, respectively.\"},{\"question\":\"How do you answer questions like “ONLY a Playstation”?\",\"answer\":\"Compute the elements in P that are not in X or W, i.e., the part of P outside the other circles.\"},{\"question\":\"What do the set operations X∪W, W∩X, and W-X mean?\",\"answer\":\"X∪W is the union of X and W, W∩X is the overlap between W and X, and W-X is the part of W excluding any elements that are also in X.\"}]","Reading a Venn Diagram - Answer Key | PDF",1790802775]