(A) Using the distributive law,we have: $(p \vee q) \wedge (p \vee \sim q) = p \vee (q \wedge \sim q)$ By the complement law,$q \wedge \sim q = F$ (wh

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(A) Using the distributive law,we have: $(p \vee q) \wedge (p \vee \sim q) = p \vee (q \wedge \sim q)$ By the complement law,$q \wedge \sim q = F$ (where $F$ denotes a contradiction or false statement). So,the expression becomes $p \vee F$. Since $F$ is the identity element for the disjunction operator $\vee$,$p \vee F = p$. Thus,the simplified form is $p$.

Class 11 Mathematics Mathematical Reasoning Mathematical logic

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Simplify $(p \vee q) \wedge (p \vee \sim q)$

MHT CET 2009 All MHT CET

A
$p$
B
$T$
C
$F$
D
$q$

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Simplify $(p \vee q) \wedge (p \vee \sim q)$

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