Correct Answer: B. A syllogism<\/strong><\/p>\n\n\n\n The statement “If a \u2192 b and b \u2192 c, then a \u2192 c”<\/strong> is best described as a syllogism<\/strong>.<\/p>\n\n\n\n A syllogism<\/strong> is a form of deductive reasoning in logic, where a conclusion is drawn from two given or assumed premises. The classic structure of a syllogism is:<\/p>\n\n\n\n This pattern is valid in logic and is often referred to as hypothetical syllogism<\/strong> or transitivity of implication<\/strong>. It’s a way of combining two conditional (if-then) statements to infer a new one.<\/p>\n\n\n\n The reasoning used in \u201cIf a \u2192 b and b \u2192 c, then a \u2192 c\u201d is a textbook example of a syllogism<\/strong>, specifically a hypothetical syllogism<\/strong>. It reflects the logical structure that allows conclusions to be drawn from multiple premises in a step-by-step manner.<\/p>\n\n\n\n Which term best describes the statement given below? If a b and b c, then a c. A. Contrapositive statement B. A syllogism C. Inverse statement D. Converse statement The Correct Answer and Explanation is: Correct Answer: B. A syllogism Explanation The statement “If a \u2192 b and b \u2192 c, then a \u2192 c” […]<\/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-223953","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223953","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=223953"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223953\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=223953"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=223953"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=223953"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nExplanation <\/strong><\/h3>\n\n\n\n
\n
\n\n\n\nWhy Not the Other Options?<\/strong><\/h3>\n\n\n\n
\n
A contrapositive of a conditional statement if p, then q<\/em> is if not q, then not p<\/em>. This changes both the hypothesis and conclusion to their opposites and switches them. It is logically equivalent to the original statement, but it’s not what’s being described here.<\/li>\n\n\n\n
The inverse of if p, then q<\/em> is if not p, then not q<\/em>. Like the contrapositive, it alters the original statement, but unlike the contrapositive, it is not<\/strong> logically equivalent.<\/li>\n\n\n\n
The converse of if p, then q<\/em> is if q, then p<\/em>. Again, this switches the direction of implication, but the original statement is describing a chain of reasoning, not a reversal.<\/li>\n<\/ul>\n\n\n\n
\n\n\n\nConclusion:<\/strong><\/h3>\n\n\n\n
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