Question

Which of the following illustrates the truth value of the given statements? P: 3 is an odd number, and Q: 9 is an odd number (P ∧ Q) T F → F T T → T F T → F F F → F

Answer 1

Answer:  The correct option is (B)  T   T  →  T.

Step-by-step explanation:  We are given to select the correct illustration of the truth value of the following statement :

"3 is an odd number and 9 is an odd number", where

p : 3 is an odd number. This is a true statement.

And

q : 9 is an odd number. This statement is true.

We know that

The statement p and q is written as p ∧ q.

Since p is true and q is true, so p ∧ q will be true.

That is,

p      q      p ∧ q

T      T         T

Thus, the correct illustration is   T    T   →   T.

Option (B) is CORRECT.

Answer 2

TT - T, since both statements are true, the outcome is true.