If p -q - r is false- then the truth values of p- q- r are respectivelyA- T - F - FB- F- F- FC- F-T-TD- T- T-T

The correct option is A T,F,Fp ⇒ q is false only if p is true and q is false. So, p ⇒ (q ∨ r) is false only if p is true and (q ∨ r) is false. (q ∨ r) is false ...

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Standard XI

Mathematics

Validation of Statement

If p ⇒q ∨ r i...

Question

If $p \Rightarrow (q \lor r)$ is false, then the truth values of p,q,r are respectively

T,F,F

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F,F,F

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F,T,T

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T,T,T

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Solution

The correct option is A T,F,F
$p \Rightarrow q$ is false only if p is true and q is false.
So, $p \Rightarrow (q \lor r)$ is false only if p is true and $(q \lor r)$ is false.
$(q \lor r)$ is false only if q and r are false.
Hence, the truth values of p,q,r are respectively T,F,F

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If $p \Rightarrow (q \lor r)$ is false, then the truth values of p,q,r are respectively

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If p⇒(q∨r) is false, then the truth values of p,q,r are respectively

The correct option is A T,F,Fp⇒q is false only if p is true and q is false. So, p⇒(q∨r) is false only if p is true and (q∨r) is false. (q∨r) is false only if q and r are false. Hence, the truth values of p,q,r are respectively T,F,F

If $p \Rightarrow (q \lor r)$ is false, then the truth values of p,q,r are respectively

The correct option is A T,F,F
$p \Rightarrow q$ is false only if p is true and q is false.
So, $p \Rightarrow (q \lor r)$ is false only if p is true and $(q \lor r)$ is false.
$(q \lor r)$ is false only if q and r are false.
Hence, the truth values of p,q,r are respectively T,F,F