Which symbolic notation represents the contrapositive of a conditional statement?(1 point) Responses
~p→ ~q
q→ p
p→ q
~q→ ~p
~q→ ~p
The symbolic notation that represents the contrapositive of a conditional statement is ~q → ~p
The symbolic notation that represents the contrapositive of a conditional statement is ~q → ~p. To understand how this notation is derived, let's first understand what a contrapositive is.
A contrapositive is a logical statement formed by switching the hypothesis (p) and conclusion (q) of a conditional statement, and then negating both.
For example, if we have a conditional statement "If p, then q," the contrapositive would be "If ~q, then ~p."
To get the symbolic notation, we represent the negation of p as ~p and the negation of q as ~q. Then we switch their positions to get ~q → ~p, which is the contrapositive symbolic notation.