{"id":43717,"date":"2025-06-30T09:36:54","date_gmt":"2025-06-30T09:36:54","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=43717"},"modified":"2025-06-30T09:36:56","modified_gmt":"2025-06-30T09:36:56","slug":"which-sentence-can-represent-the-inequality-2-4-6-2-minus-x-greater-than-negative-4-5","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/which-sentence-can-represent-the-inequality-2-4-6-2-minus-x-greater-than-negative-4-5\/","title":{"rendered":"Which sentence can represent the inequality 2.4 (6.2 minus x) greater-than negative 4.5"},"content":{"rendered":"\n

Which sentence can represent the inequality 2.4 (6.2 minus x) greater-than negative 4.5? Two and four tenths times six and two tenths minus a number is larger than negative four and five tenths. Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and five tenths. The difference of six and two tenths and a number multiplied by two and four tenths is not less than negative four and five tenths. The product of six and two tenths minus a number and two and four tenths is at minimum negative four and five tenths.<\/p>\n\n\n\n

The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n

The correct sentence is:<\/p>\n\n\n\n

“Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and five tenths.”<\/strong><\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

The given inequality is: 2.4(6.2\u2212x)>\u22124.52.4(6.2 – x) > -4.5<\/p>\n\n\n\n

This represents a multiplication of 2.4<\/strong> with the difference between 6.2<\/strong> and x<\/strong>. The left side of the inequality shows the product of 2.4<\/strong> and (6.2 – x)<\/strong>, and the inequality states that this product is greater than -4.5<\/strong>.<\/p>\n\n\n\n

Now, let’s look at the choices provided:<\/p>\n\n\n\n

    \n
  1. “Two and four tenths times six and two tenths minus a number is larger than negative four and five tenths.”<\/strong>\n
      \n
    • This sentence is somewhat correct, but it is unclear about what is being subtracted or multiplied. It doesn\u2019t quite capture the structure of the inequality because it doesn’t emphasize that the difference<\/strong> (6.2 – x) is being multiplied by 2.4.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • “Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and five tenths.”<\/strong>\n
        \n
      • This sentence accurately<\/strong> matches the original inequality. It clearly describes that 2.4<\/strong> is multiplied by the difference of 6.2<\/strong> and x<\/strong>, and the result is greater than -4.5<\/strong>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
      • “The difference of six and two tenths and a number multiplied by two and four tenths is not less than negative four and five tenths.”<\/strong>\n
          \n
        • This sentence describes the inequality in a more complex form. However, the phrase “is not less than” is essentially saying greater than or equal to<\/strong>, which is not the same as the strict “greater than” in the original inequality. So, this option is incorrect<\/strong>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
        • “The product of six and two tenths minus a number and two and four tenths is at minimum negative four and five tenths.”<\/strong>\n
            \n
          • This sentence suggests that the product is “at minimum” a certain value, which suggests a “greater than or equal to” interpretation. This doesn’t capture the strict “greater than” (>) in the inequality. Therefore, this sentence is incorrect<\/strong>.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n

            Thus, the most accurate sentence is the second one, as it correctly represents the structure and meaning of the inequality.<\/p>\n","protected":false},"excerpt":{"rendered":"

            Which sentence can represent the inequality 2.4 (6.2 minus x) greater-than negative 4.5? Two and four tenths times six and two tenths minus a number is larger than negative four and five tenths. Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-43717","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43717","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=43717"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43717\/revisions"}],"predecessor-version":[{"id":43718,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43717\/revisions\/43718"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=43717"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=43717"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=43717"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}