Maths-

General

Easy

Question

# The conditional p → q is only false when

a. p = T, q = T

b. p = T, q = F

c. p = F, q = F

d. p = F, q = T

## The correct answer is: So, p → q is only false when p = T and q = F. Hence option b is correct.

### Hint:

p → q is a conditional statement which mean if p then q. The conditional statement is saying that if p is true, then q will immediately follow and thus be true

Solution

The truth table of p → q is given as

Hence, we can see that p → q is only false when p is True and q is False.

Final Answer:

So, p → q is only false when p = T and q = F. Hence option b is correct.

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