Question

A bike shop rents bikes with heights ranging from 18 inches to 26 inches. The shop says the height of the bike should be about 0.6 time a cyclist's leg length. Write and solve a compound inequality that represents the leg lengths of the cyclists the shop does NOT provide bikes for.

Answer 1

Answer: x<30 inches or x>43.33 inches

Explanation:

Given that a bike shop rents bikes with heights ranging from 18 inches to 26 inches. And the height of the bike should be about 6 times a cyclist legs length.

Let x be the cyclist leg length.

From given condition If 0.6x is between 18inches to 26 inches, then only cyclist can rent bike.

Then condition for cyclist not getting bike is 0.6x<18 or 0.6x>26