{"id":180476,"date":"2025-01-06T14:14:10","date_gmt":"2025-01-06T14:14:10","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=180476"},"modified":"2025-01-06T14:14:12","modified_gmt":"2025-01-06T14:14:12","slug":"which-term-best-describes-the-statement-given-below-4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/06\/which-term-best-describes-the-statement-given-below-4\/","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. A. Contrapositive statement B. Converse statement O C. Inverse statement D. A syllogism<\/p>\n\n\n\n

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

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

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

A syllogism<\/strong> is a type of logical reasoning where a conclusion is drawn from two given or assumed propositions (premises). These premises must follow a logical structure to reach a conclusion. The example in your question follows this exact reasoning pattern:<\/p>\n\n\n\n

    \n
  • Premise 1<\/strong>: If ( x = y )<\/li>\n\n\n\n
  • Premise 2<\/strong>: If ( y = z )<\/li>\n\n\n\n
  • Conclusion<\/strong>: Therefore, ( x = z )<\/li>\n<\/ul>\n\n\n\n

    This structure is a syllogism<\/strong> because it involves two premises and a conclusion that logically follows from them. Specifically, the form of the syllogism is based on the transitive property<\/em> in mathematics, which states that if ( a = b ) and ( b = c ), then ( a = c ).<\/p>\n\n\n\n

    In your case:<\/p>\n\n\n\n

      \n
    1. ( x = y ) (First premise)<\/li>\n\n\n\n
    2. ( y = z ) (Second premise)<\/li>\n\n\n\n
    3. Thus, ( x = z ) (Conclusion)<\/li>\n<\/ol>\n\n\n\n

      This reasoning process is a classic example of syllogistic reasoning, where the relationship between ( x ), ( y ), and ( z ) is deduced logically.<\/p>\n\n\n\n

      Explanation of Other Options:<\/h3>\n\n\n\n
        \n
      • A. Contrapositive statement<\/strong>: This refers to the logical negation of a statement and its converse. For example, the contrapositive of “If ( p ), then ( q )” is “If not ( q ), then not ( p ).”<\/li>\n\n\n\n
      • B. Converse statement<\/strong>: This involves reversing the order of the terms in a conditional statement. The converse of “If ( p ), then ( q )” is “If ( q ), then ( p ).”<\/li>\n\n\n\n
      • C. Inverse statement<\/strong>: This involves negating both the hypothesis and conclusion of a conditional statement. The inverse of “If ( p ), then ( q )” is “If not ( p ), then not ( q ).”<\/li>\n<\/ul>\n\n\n\n

        In contrast to these options, a syllogism<\/strong> clearly fits the reasoning pattern used in the question.<\/p>\n","protected":false},"excerpt":{"rendered":"

        Which term best describes the statement given below? If x = y and y = z, then x = z. A. Contrapositive statement B. Converse statement O C. Inverse statement D. A syllogism The Correct Answer and Explanation is : The correct answer is D. A syllogism. Explanation: A syllogism is a type of logical […]<\/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-180476","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/180476","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=180476"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/180476\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=180476"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=180476"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=180476"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}