Question

The diagram shows the truth values for two statements. What is the truth value of p ∨ q?

Answer 1

Answer: The answer is 52.

Step-by-step explanation: We are given a Venn diagram which shows the truth values of the two statements p and q. We are to find the truth value of p ∨ q.

Given that

n(p) = 40, n(q) = 26 and n(p and q) = 14.

We know that truth value of (p ∨ q) will represent the truth value of p or truth value of q.

So, we have

`n(pVq)=n(p\cup q)=n(p)+n(q)-n(p\cap q)\\\\\Rightarrow n(pVq)=40+26-14=66-14=52.`

Therefore, the truth value of (p ∨ q) is 52.

Thus, the answer is 52.

Answer 2

p v q means p or q.

The truth value of p v q is the union of p and q less their intersection.

This is: p v q = p ∪ q - (p ∩ q).

=> p v q = 40 + 26 - (14) = 52.

Answer: 52