Question

a bike shop rents bikes with Heights ranging from 18 in to 26 inches. The shop says that the height of the bike should be about 0.6 times a cyclist legs length. write and solve a compound inequality that represents the leg lengths of the cyclist the shop does not provide bikes for?

Answer 1

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

                                      x<$\frac{18}{0.6}$ or $x>\frac{26}{0.6}$

                                          x<30 inches or x>43.33 inches