Respuesta :

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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

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

[tex]n(pVq)=n(p\cup q)=n(p)+n(q)-n(p\cap q)\\\\\Rightarrow n(pVq)=40+26-14=66-14=52.[/tex]

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

Thus, the answer is 52.

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