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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