Question

Write an inequality that represents the statement “x is greater than 2 and less than 8.”

A.
2 > x > 8
B.
2 < x < 8
C.
2 > x < 8
D.
2 < x > 8

Answer 1

I always viewed the < > signs as alligator mouths that eat the bigger number. With this in mind, we know that x is bigger than 2, so we have the 'mouth' facing x (2<x). It also says that x is less than 8, so the 'mouth' has to be facing the 8 (x<8). So we put these two together to get (2<x<8). B is your answer!