pre calc math homework

Question

Nidhi is creating a rectangular garden in her back yard. The length of the garden is 10 feet. The perimeter of the garden must be at least 40 feet and no more than 76 feet. Write and solve a compound inequality to find the range of values for the width, w, of the garden.

Answer 1

Perimeter = 2L + 2W

40 <= 2L + 2W <= 76

40 <= 2*10 + 2W <= 76

subtract all sides by 20

20 <= 2W <= 56

divide all sides by 2

10 <= W <= 28 Range of values for the width.