Answer: the correct option is (B) T T → T.
Step-by-step explanation: We are given to select the option that illustrates the truth value of the following statements :
"January has 31 days and May has 31 days. "
Let p : January has 31 days. This is a true statement.
And
q : May has 31 days. This is also true.
The statement (p and q) is written as (p ∧ q). The truth table for (p ∧ q) is as follows :
p q p ∧ q
T T T
T F F
F T F
F F F
Therefore, the required illustration will be
T T → T.
Option (B) is CORRECT.