Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enough yarn to put fringe around the blanket, as long as the perimeter of the blanket is no more than 180 inches. The system of inequalities shown represents the width of the blanket in inches, w, and the length in inches, l.

w ≥ 0.5l

2l + 2w ≤ 180

Question

Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enough yarn to put fringe around the blanket, as long as the perimeter of the blanket is no more than 180 inches. The system of inequalities shown represents the width of the blanket in inches, w, and the length in inches, l.

        w ≥ 0.5l

2l + 2w ≤ 180

projects · Answer

Let's solve for l.
2l+2w≤180
Step 1: Add -2w to both sides.
2l+2w+−2w≤180+−2w
2l≤−2w+180
Step 2: Divide both sides by 2.
2l
2
≤
−2w+180
2
Your answer will be l≤−w+90