[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-635227-105":59,"doc-detail-635227-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-on-a-number-line-part-4","Inequalities on a Number Line - Part 4","","This educational document provides a structured series of exercises focused on representing mathematical inequalities on a number line. It features eight distinct problems involving positive values, covering various formats such as compound inequalities and inclusive or exclusive boundary conditions. The content is designed for students learning to visualize algebraic ranges, offering both the problem sets and their corresponding solutions. It serves as an effective practice tool for mastering interval notation and graphical representations on number lines.",{"@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-on-a-number-line-part-4/635227/",{"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-on-a-number-line-part-4/635227.png","ImageObject",300,407,{"name":92,"@type":93},"Putri","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the symbol ≤ represent in these inequalities?","Question",{"text":112,"@type":113},"The symbol ≤ represents 'less than or equal to,' indicating that the boundary value is included in the solution set.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are 'or' inequalities represented on a number line?",{"text":117,"@type":113},"'Or' inequalities are represented by two separate regions on the number line, each with its own arrow or line segment, indicating that the solution satisfies either of the two conditions.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the difference between a filled circle and an open circle on a number line?",{"text":121,"@type":113},"A filled circle denotes an inclusive boundary (≥ or ≤), while an open circle denotes an exclusive boundary (> or \u003C), meaning the specific value at the point is not part of the solution set.","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},635227,1792919848,{"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":81,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"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":24},962085571259,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Name Date  \nINEQUALITIES ON A NUMBER LINE (POSITIVE VALUES) 4  \n| NUMBER LINE INEQUALITY |  |  |\n| --- | --- | --- |\n| 1) | | 9 \u003C x ≤ 17 |\n| 2) | | 4 ≤ x ≤ 15 |\n| 3) | | x \u003C 7\u003Cbr>or\u003Cbr>x >12 |\n| 4) | | x ≥ 16\u003Cbr>or\u003Cbr>x ≤ 5 |\n| 5) | | 3 ½ \u003C x \u003C 8 |\n| 6) | | 5 ½ ≤ x \u003C 9 ½ |\n| 7) | | x ≤ 1 ½\u003Cbr>or\u003Cbr>x > 8 |\n| 8) | | x ≥ 9 ½\u003Cbr>or\u003Cbr>x ≤ 4 ½ |\n\nName Date  \nINEQUALITIES ON A NUMBER LINE (POSITIVE VALUES) 4 ANSWERS  \n| NUMBER LINE INEQUALITY |  |  |\n| --- | --- | --- |\n| 1) | | 9 \u003C x ≤ 17 |\n| 2) | | 4 ≤ x ≤ 15 |\n| 3) | | x \u003C 7\u003Cbr>or\u003Cbr>x >12 |\n| 4) | | x ≥ 16\u003Cbr>or\u003Cbr>x ≤ 5 |\n| 5) | | 3 ½ \u003C x \u003C 8 |\n| 6) | | 5 ½ ≤ x \u003C 9 ½ |\n| 7) | | x ≤ 1 ½\u003Cbr>or\u003Cbr>x > 8 |\n| 8) | | x ≥ 9 ½\u003Cbr>or\u003Cbr>x ≤ 4 ½ |","cbCaitQpEDT68jG0","https://ap.wps.com/l/cbCaitQpEDT68jG0","pdf",144802,"English","# Exercise Sets\n## Practice Problems\n## Answer Key","[{\"question\":\"What does the symbol ≤ represent in these inequalities?\",\"answer\":\"The symbol ≤ represents 'less than or equal to,' indicating that the boundary value is included in the solution set.\"},{\"question\":\"How are 'or' inequalities represented on a number line?\",\"answer\":\"'Or' inequalities are represented by two separate regions on the number line, each with its own arrow or line segment, indicating that the solution satisfies either of the two conditions.\"},{\"question\":\"What is the difference between a filled circle and an open circle on a number line?\",\"answer\":\"A filled circle denotes an inclusive boundary (≥ or ≤), while an open circle denotes an exclusive boundary (\\u003e or \\u003c), meaning the specific value at the point is not part of the solution set.\"}]","Inequalities on a Number Line - Part 4 | PDF",1792675548]