If p ⇒ ~ p ∨ q is false, then the truth values of p and q are respectively

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Question: Answered & Verified by Expert

If

p \Rightarrow (~ p \lor q)

is false, then the truth values of

p

and

q

are respectively

MathematicsMathematical ReasoningJEE Main

Options:

A $F, T$
B $F, F$
C $T, T$
D $T, F$

Solution:

2315 Upvotes Verified Answer

The correct answer is:

T, F

p \Rightarrow (~ p \lor q)

is false means

p

is true and

~ p \lor q

is false.

\Rightarrow

p

is true and both

~ p

and

q

are false.

\Rightarrow p

is true and

q

is false.

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