Question

What is the truth value for the following conditional statement? p: true q: false ∼q → ∼p T F → F T T → F F T → T T F → T

Answer 1

Answer:

False F

Step-by-step explanation:

You are given two statements p and q. For these two statements fill in the logic table:

$\begin{array}{ccccccccc}p&|&q&|&\sim p&|&\sim q&|&\sim q\rightarrow \sim p\\T&|&T&|&F&|&F&|&T\\T&|&F&|&F&|&T&|&F\\F&|&T&|&T&|&F&|&T\\F&|&F&|&T&|&T&|&T\end{array}$

So, when p is true and q is false, statement $\sim q\rightarrow \sim p$ is false.