Question

Emily is creating a rectangular garden in her backyard. The length of the garden is 12 feet. The perimeter of the garden must be at least 30 feet and no more than 64 feet. Use a compound inequality to find the range of values for the width w of the garden.

Answer 1

Answer:

The compound inequality:

30 ≤ 2L + 2w ≤ 64

w < 12

The range:

3 ≤ w < 12

Step-by-step explanation:

Let L be he length , w the width and p the perimeter

p=2L + 2w

30 ≤ p ≤ 64 ⇌ 30 ≤ 2L + 2w ≤ 64 ⇌ 30 ≤ 24 + 2w ≤ 64 ⇌ 6 ≤ 2w ≤ 40

⇌ 3 ≤ w ≤ 20

but ,since the width is less than the length then w < 12

then 3 ≤ w < 12