Question

In direct method to prove statement “If p then q” is valid or not, we assume p to be __________ and prove q to be _____________

(a) true, false

(b) true, true

(c) false, false

(d) false, true

This question was posed to me in homework.

I want to ask this question from Mathematical Reasoning in portion Mathematical Reasoning of Mathematics – Class 11

Answer 1

The correct choice is (b) true, true

For explanation I would say: In direct method, we assume p to be true and use it to prove that q is also true.

There is no case for p to be false in direct method.