Question

Suppose that the statement form (p ∨ q) → (r → p) is false. What can you conclude about the truth values of the variables p, q and r? Explain your reasoning

Answer 1

Answer:

p is false, q is true and r is true

Step-by-step explanation:

• For (p ∨ q) → (r → p) to be false, the proposition (p ∨ q) must be true and (r → p) false.

• If (r → p) then r must be true and p is false, we now have truth values for these two
• Now if (p v q) is true, either p, q or both must be true. Since p is false, it follows that q must be true.