Which symbolic notation represents the contrapositive of a conditional statement?(1 point)
Responses
A. P→ q
B. ~p→ ~q
C. ~q→ ~p
D. q→ p
C. ~q→ ~p
The symbolic notation that represents the contrapositive of a conditional statement is option C. ~q→ ~p.
The contrapositive of a conditional statement is formed by negating both the hypothesis (the "if" part) and the conclusion (the "then" part), and then swapping their positions.
In this case, the conditional statement is represented as "p → q", where p is the hypothesis and q is the conclusion.
To find the contrapositive of this statement, you need to negate both p and q, and then swap their positions. The correct symbolic notation for the contrapositive would be:
C. ~q → ~p
So, the answer is option C.