Question

the perimeter of a rectangular pool is more than 62 meters, and the width is at least 10 meters less than the length. which system of inequalities represents the possible length in meters, $l$, and the possible width in meters, $w$, of the pool?$w \leq 10 - l$$2l + 2w \geq 62$$w \leq 10 - l$$2l + 2w > 62$$w \leq l - 10$$2l + 2w \geq 62$$w \leq l - 10$$2l + 2w > 62$

Explanation:

Step1: Translate width inequality

The width is at least 10 meters less than the length, meaning $w$ is less than or equal to $l - 10$.
Expression: $w \leq l - 10$

Step2: Translate perimeter inequality

The perimeter is more than 62 meters. The perimeter of a rectangle is $2l + 2w$, so this gives a strict inequality.
Expression: $2l + 2w > 62$

Answer:

D. $w \leq l - 10$
$2l + 2w > 62$