Chapter: Mathematical Logic· Mathematics & Statistics Part 1

If the statements \(p, q\) are true statements and \(r, s\) are false statements, then determine the truth value of the statement pattern : \((q\wedge r)\vee(\sim p\wedge s)\)

Q.3 If the statements \(p, q\) are true statements and \(r, s\) are false statements, then determine the truth value of the statement pattern : \((q\wedge r)\vee(\sim p\wedge s)\)

Doubtly Asked 29 Oct 2026 Board exam · July 2024 hsc 12th Save WhatsApp Report

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Answer: The truth value is F (false).

Given \(p\equiv T\), \(q\equiv T\), \(r\equiv F\), \(s\equiv F\).

\((q\wedge r)\vee(\sim p\wedge s)\equiv(T\wedge F)\vee(\sim T\wedge F)\equiv F\vee(F\wedge F)\equiv F\vee F\equiv F\).

Doubtly AI · 29 Oct 2026 AI-generated · not yet verified Report

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If the statements \(p, q\) are true statements and \(r, s\) are false statements, then determine the truth value of the statement pattern : \((q\wedge r)\vee(\sim p\wedge s)\)

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