If an original conditional statement is represented by p → q, which represents the contrapositive?

q → p

~q → ~p

p → q

~p → ~q

Question

Mathematics

Ronin Carter

14 February, 09:21

If an original conditional statement is represented by p → q, which represents the contrapositive?

q → p

~q → ~p

p → q

~p → ~q

+4

Answers (1)

Know the Answer?

Taylor Osborn · Answer 1

A conditional statement has two parts, the hypothesis and the conclusion. In p and q notation, the hypothesis is always the p and the q is the conclusion. In a contrapositive statement, the statement would go, "if not q, then not p". Therefore, the answer to this item is the second choice.

If an original conditional statement is represented by p → q, which represents the contrapositive?q → p~q → ~pp → q~p → ~q

If an original conditional statement is represented by p → q, which represents the contrapositive?

q → p

~q → ~p

p → q

~p → ~q