inequalities word problem

Question

The length of a rectangle is 7 inches longer than the width. The perimeter is between 30 and 41 inches. Write the perimeter as a compound inequality, and then graph the result.

Answer 1

30 < 2(L+W) < 41

30 < 2(W+7+W) <41

30 < 4W + 14 < 41

30 < P < 41

that's in terms of the perimeter

You can solver for W and L as well

16 < 4W < 27

4 < W < 6.75

11 < L < 13.75