Answer
In case of a conditional statement, it is false only when the antecedent is true and the consequent is false.
A conditional statement\[p\to q\] is false only when p is true and q is false. In rest all other cases, it is true.
The truth table for statement \[\text{ }p\to q\text{ }\]is
It is observed that\[\text{ }p\to q\text{ }\] can be false only when p is true and q is false.For other possible combination of truth values, the conditional statement is true.