Question

Which of the following illustrates the truth value of the given statements? 5 • 3 = 15 or 7 + 5 = 20 F T → T T T → T F F → F T F → T

Answer 1

Answer: The correct option is (D) T F → T.

Step-by-step explanation: We are given to select the option that illustrates the truth values of the following statement :

5 . 3 = 15 or 7 + 5 = 20.

Let p : 5 . 3 = 15. This is true (T).

q : 7 + 5 = 20. This is false (F).

Therefore, we get

p or q = p ∨ q.

We know that

p ∨ q is true if at least one of p or q is true.

So, we get that the truth value of p ∨ q is true (T).

Thus, the required answer is

T F → T.

Option (D) is correct.

Answer 2

D. T F → T

Explanation:

We are given the statements,

5 × 3 = 15 or 7 + 5 = 20.

Now, we will check whether the statements are true or false.

So, we have,

Statement ' 5 × 3 = 15' is true i.e. T

Statement ' 7 + 5 = 20' is false i.e. F

Hence, the correct truth value of the given statements is T F → T.

So, option D is correct.