20 !
which of the following is equivalent to the statement below?

if 3x + 1 = 10, then x ≠ 2.
select the best answer from the choices provided.

a. if x ≠ 2, then 3x + 1 = 10.
b. if 3x + 1 = 10, then x = 2.
c. if x = 2, then 3x + 1 = 10.
d. if x = 2, then 3x + 1 ≠ 10.

Arguments in the form "if this, then that" are known as conditionals. The original conditional can be written in the form "If P, then Q". The P and Q are placeholders for statements. In this case, replace P with "3x+1 = 10" and replace Q with "x does not equal 2"

It turns out that the contrapositive is entirely identical to the original conditional. The contrapositive is in the form "If not Q, then not P". You swap P and Q, also you add "not"s to each to negate them both.

"P" means "3x+1 = 10", so "not P" means "3x+1 does not equal 10"

"Q" means "x does not equal 2", so "not Q" means "x = 2"

"If P, then Q" > "if 3x+1 = 10, then x does not equal 2"

"If not Q, then not P" > "if x = 2, then 3x+1 does not equal 10" is the proper contrapositive we want.