Answer:
1. T F ⇒ F
Step-by-step explanation:
The conditional statement is,
"If a week has seven days, then a year has twenty months."
Let, p-If a week has seven days and q-A year has twenty months
We have that 'p' is true and 'q' is false. Then, 'pq' is represented by 'T F'.
Since, the conclusion is,
'If a week has seven days, then a year has twenty months', which is not true.
Thus, p ⇒ q is false i.e. It is represented by F.
Hence, the truth value of the given statement is 'T F ⇒ F'.
Answer: The correct option is (1) T F ⇒ F.
Step-by-step explanation: We are given to select the correct illustration of the truth value of the following conditional statement :
"If a week has seven days, then a year has twenty months."
Let us consider that
p : A week has seven days. It is true.
q : A year has twenty months. It is false.
The truth table for the conditional statement p ⇒ q i as follows :
p q p ⇒ q
T T T
T F F
F T T
F F T
Since p is true and q is false, so the required illustration is
T F ⇒ F.
Option (1) is CORRECT.
