Question

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

Answer 1

Answer:

The truth value of p ↔ q is 46.

Step-by-step 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

Answer 2

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