[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523256-105":59,"doc-detail-523256-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","inequalities-with-hanger-diagrams-grade-6-worksheet-part-13-inequalities-with-hanger-diagrams","Inequalities with Hanger Diagrams - Grade 6 Worksheet - Part 13 - Inequalities with Hanger Diagrams","","Grade 6 inequalities worksheet using hanger diagrams to compare weights of circles and triangles. Learners determine which shape weighs more (or whether it is impossible to tell) and write inequalities that match each unbalanced or balanced diagram. Several items require solving the written inequality, including cases with variables on one side and expressions such as x+2 or multiples like 2x, with provided solved results for verification.",{"@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/inequalities-with-hanger-diagrams-grade-6-worksheet-part-13-inequalities-with-hanger-diagrams/523256/",{"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/inequalities-with-hanger-diagrams-grade-6-worksheet-part-13-inequalities-with-hanger-diagrams/523256.png","ImageObject",300,407,{"name":92,"@type":93},"Kurz","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you decide which shape weighs more on a hanger diagram?","Question",{"text":112,"@type":113},"Use the balance of the diagram. If the hanger is unbalanced, the side that sits lower indicates the heavier shape; if the diagram is balanced, it’s impossible to tell unless the worksheet states a comparison.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does it mean to write an inequality that matches an unbalanced hanger diagram?",{"text":117,"@type":113},"You translate the heavier side into an inequality comparing the weights. For example, if the circle side is heavier, you write an inequality consistent with circle > triangle.",{"name":119,"@type":110,"acceptedAnswer":120},"How are inequalities solved when variables and expressions are shown?",{"text":121,"@type":113},"Follow standard inequality-solving steps to isolate the variable. When expressions like x+2 or 2x appear, combine or divide appropriately and keep the inequality direction consistent, as in the worksheet’s solved examples.","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},523256,1791491441,{"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":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"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":52,"preview_page_count":4},2336478945635,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Kuta Software-Infinite Grade 6 Math  \nInequalities with Hanger Diagrams  \nName   \nDate  Period   \nAn unbalanced hanger diagram is provided. Which shape weighs more, a circle or a triangle? If it's impossible to tell, write 'impossible to tell.'  \n1)  \n2)  \nWrite an inequality that matches the unbalanced hanger diagram.  \n3)  \n4)  \nWrite an inequality that matches the unbalanced hanger diagram. Then write the solved inequality.  \n5)  \n7)  \n8)  \nAn unbalanced hanger diagram is provided. Which shape weighs more, a circle or a triangle? If it's impossible to tell, write 'impossible to tell.'  \n9)  \n10)  \n|  |\n| --- |\n|  |\n\n11)  \n12)  \nA balanced hanger diagram is provided. Which shape weighs more, a circle or a triangle? If it's impossible to tell, write 'impossible to tell.'  \n13)  \n15)  \n14)  \n16)  \nKuta Software-Infinite Grade 6 Math  \nInequalities with Hanger Diagrams  \nName   \nDate  Period   \nAn unbalanced hanger diagram is provided. Which shape weighs more, a circle or a triangle? If it's impossible to tell, write 'impossible to tell.'  \n1) 2)  \nA circle weighs more than a triangle. A triangle weighs more than a circle.  \nWrite an inequality that matches the unbalanced hanger diagram.  \n3)  \n4)  \nx \u003C z  \nx > z  \nz  \nx  \nWrite an inequality that matches the unbalanced hanger diagram. Then write the solved inequality.  \n5)  \nx  \n2  \nFrom diagram: 7 > x + 2  \nSolved: x \u003C 5  \n6)  \nx  \n2  \nFrom diagram: x + 2 > 6  \nSolved: x > 4  \n7)  \nx x  \n6  \nFrom diagram: 2x > 6  \nSolved: x > 3  \n8)  \nx x  \nFrom diagram: 6 > 2x  \nSolved: x \u003C 3  \n6  \nAn unbalanced hanger diagram is provided. Which shape weighs more, a circle or a triangle? If it's impossible to tell, write 'impossible to tell.'  \n9) 10)  \n|  |\n| --- |\n|  |\n\nimpossible to tell  \nA triangle weighs more than a circle.  \n11) 12)  \nA triangle weighs more than a circle.  \nimpossible to tell  \nA balanced hanger diagram is provided. Which shape weighs more, a circle or a triangle? If it's impossible to tell, write 'impossible to tell.'  \n13)  \n15)  \nA triangle weighs more than a circle.  \nA triangle weighs more than a circle.  \n14)  \nA triangle weighs more than a circle.  \nA triangle weighs more than a circle.  \nCreate your own worksheets like this one with Infinite Grade 6 Math. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaia3IVQTXMbgh","https://ap.wps.com/l/cbCaia3IVQTXMbgh","pdf",51848,"English","# Name, Date, Period\n## Circle vs. Triangle Weight Questions\n## Write Matching Inequalities\n## Solve the Inequalities","[{\"question\":\"How do you decide which shape weighs more on a hanger diagram?\",\"answer\":\"Use the balance of the diagram. If the hanger is unbalanced, the side that sits lower indicates the heavier shape; if the diagram is balanced, it’s impossible to tell unless the worksheet states a comparison.\"},{\"question\":\"What does it mean to write an inequality that matches an unbalanced hanger diagram?\",\"answer\":\"You translate the heavier side into an inequality comparing the weights. For example, if the circle side is heavier, you write an inequality consistent with circle \\u003e triangle.\"},{\"question\":\"How are inequalities solved when variables and expressions are shown?\",\"answer\":\"Follow standard inequality-solving steps to isolate the variable. When expressions like x+2 or 2x appear, combine or divide appropriately and keep the inequality direction consistent, as in the worksheet’s solved examples.\"}]","Inequalities with Hanger Diagrams - Grade 6 Worksheet - Part 13 - Inequalities with Hanger Diagrams | PDF",1791426656]