Answer:
Option C. is the answer.
Explanation:
Given statements p, q and r are
p: It is a labor day - Truth value (True)
q: I go to the park - Truth value (True)
r: I have a picnic with my family - Truth value (True)
Now we will find the truth values of the statements
~p : It is not a Labor day - Truth value (F)
~q : I will not go to the park - Truth value (F)
Now (~q ∧ r) : I will not go to the park and have a picnic with my family - Truth value (F) [ conjunction of two statements having truth values as True will be true otherwise False ]
~p → (~p ∧ r) : If it is not Labor Day, then I will not go to the park and have a picnic with my family : Truth value (F) [ Implication of two statements has the truth value as False only when first statement is True and second statement is False otherwise truth value will be True ]
Option C. is the answer.