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The diagram represents the truth values of the statements p and q.

Which statement is true?

The truth value of p ∧ q is 20.
The truth value of q → p is 26.
The truth value of p ↔ q is 46.
The truth value of p ∨ q is 6

The diagram represents the truth values of the statements p and q. Which statement-example-1

2 Answers

1 vote

Answer:

The truth value of p ↔ q is 46.

Explanation:

Option A : The truth value of p ∧ q is 20.

∧ means and

So, we are given that p and q = 20

Since and denotes intersection

And we are given that p ∩ q = 20 which is wrong because p ∩ q = 46

Thus Option A is wrong

Option B : The truth value of q → p is 26.

→ means if p is true then q is true

Thus means if q is 46 thus p should be 46

But we are given that q → p is 26.

Thus it is wrong .

Option C : The truth value of p ↔ q is 46.

↔ means p is true iff q is true

Since we can see that p = 0+46

q = 46

⇒ p=q=46

⇒ p ↔ q is 46.

Thus Option C is correct .

Option D : The truth value of p ∨ q is 6

∨ means or

And or means union

⇒p ∪ q is 6

Which is wrong because p ∪ q = 46

Thus Option C is correct


User Zelid
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2 votes
From the given figure, the statement that is true is "The truth value of p ↔ q is 46".

User Maephisto
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