The length of a rectangle is 3 inches more that its width. The perimeter of the rectangle is at least 30 inches. Which inequality shows the possible range of widths of the rectangle?

A. w ≥ 16.5 inches

B. w ≥ 13.5 inches

C. w ≥ 9 inches

D. w ≥ 6 inches

Perimeter of a rectangle: 2 (l + w)

2 (l + w) ≥ 30 in

Simplify - divide both sides by 2.

l + w ≥ 15 in

Substitute (w + 3) into l so only 1 variable is used.

(w + 3) + w ≥ 15 in

Simplify further - add variables and subtract 3 from both sides.

2w ≥ 12 in

Divide both sides by 2.

w ≥ 6 in

Answer: D