Answer to Question #123537 in Discrete Mathematics for Muhammad Hasnain

Question

If p→q is false can you find the truth value of ~ (p ∧ q) →q? Explain your answer

Answer 1

We have from truth table for $p\to q$ :

$p=1,q=0$

Then for $\neg(p ∧ q) →q$ :

$\neg(1\land0)\to 0\implies1\to0$

Answer: false