{"id":167036,"date":"2024-11-14T18:19:15","date_gmt":"2024-11-14T18:19:15","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=167036"},"modified":"2024-11-14T18:19:17","modified_gmt":"2024-11-14T18:19:17","slug":"which-term-best-describes-the-statement-given-below-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/14\/which-term-best-describes-the-statement-given-below-3\/","title":{"rendered":"Which term best describes the statement given below"},"content":{"rendered":"\n

Which term best describes the statement given below?
If x y and y z, then x z.<\/p>\n\n\n\n

A. Contrapositive
B. Converse
C. Inverse
D. Syllogism<\/p>\n\n\n\n

The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n

The correct answer is D. Syllogism<\/strong>.<\/p>\n\n\n\n

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

A syllogism is a form of logical reasoning that involves two premises leading to a conclusion. It is a type of deductive reasoning where if the premises are true, the conclusion must also be true. The structure of a syllogism is typically of the form:<\/p>\n\n\n\n

    \n
  1. Premise 1<\/strong>: If A, then B.<\/li>\n\n\n\n
  2. Premise 2<\/strong>: If B, then C.<\/li>\n\n\n\n
  3. Conclusion<\/strong>: Therefore, if A, then C.<\/li>\n<\/ol>\n\n\n\n

    In the given statement: “If x y and y z, then x z,” we can identify this as a classic example of a syllogism. It involves two conditional statements:<\/p>\n\n\n\n

      \n
    • Premise 1<\/strong>: If x, then y (x \u2192 y).<\/li>\n\n\n\n
    • Premise 2<\/strong>: If y, then z (y \u2192 z).<\/li>\n<\/ul>\n\n\n\n

      The conclusion drawn from these premises is:<\/p>\n\n\n\n

        \n
      • Conclusion<\/strong>: Therefore, if x, then z (x \u2192 z).<\/li>\n<\/ul>\n\n\n\n

        This matches the form of a syllogism, where the conclusion logically follows from the premises.<\/p>\n\n\n\n

        Why the Other Choices are Incorrect:<\/h3>\n\n\n\n
          \n
        • A. Contrapositive<\/strong>: The contrapositive of a statement “If A, then B” is “If not B, then not A” (\u00acB \u2192 \u00acA). The given statement doesn’t follow this pattern.<\/li>\n\n\n\n
        • B. Converse<\/strong>: The converse of a statement “If A, then B” is “If B, then A” (B \u2192 A). The given statement does not involve swapping the order of the conditions.<\/li>\n\n\n\n
        • C. Inverse<\/strong>: The inverse of a statement “If A, then B” is “If not A, then not B” (\u00acA \u2192 \u00acB). This is not the structure of the given statement either.<\/li>\n<\/ul>\n\n\n\n

          Therefore, the statement “If x y and y z, then x z” is best described by the term syllogism<\/strong>, as it follows the logical pattern of reasoning where two premises lead to a conclusion.<\/p>\n","protected":false},"excerpt":{"rendered":"

          Which term best describes the statement given below?If x y and y z, then x z. A. ContrapositiveB. ConverseC. InverseD. Syllogism The Correct Answer and Explanation is : The correct answer is D. Syllogism. Explanation: A syllogism is a form of logical reasoning that involves two premises leading to a conclusion. It is a type […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-167036","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167036","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=167036"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167036\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167036"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167036"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167036"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}