Question

Use a truth table to determine which of the following is true for this proposition:

(p & (q v p)) → ~p

Question 1 options:

The proposition is never true.

The proposition is false when p is false.

The proposition is false if p is true.

The proposition is always true.

Answer 1

Answer:

The proposition is false if p is true.

Step-by-step explanation:

I made the truth table in the picture, to fill it you need to know:

v : only is false when both propositions are false.

^ : only is true when both propositions are true.

⇒: only is false when the left proposition is true and the right proposition is false.

So, the answer is the third option.