Absolute Value Equations and Inequalities Quiz Part 2
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Adam is building a rectangular swimming pool. The perimeter of the pool must be no more than 120 feet.
If the length of the pool is 22 feet, write and solve an inequality that represents what the width of the pool
must be
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Using the perimeter equation and the information given, we will find that the inequality that represents the possible values of the width is:

0ft < W ≤ 38ft

Here we know that Adam wants to make a pool with a perimeter smaller than or equal to 120ft, such that the length is 22ft.

Then we have that:

L = 22ft

P ≤ 120ft.

Expanding the perimeter equation, we will get:

P = 2*(L + W) ≤ 120ft.

Replacing the length L = 22ft we get:

2*(22ft + W) ≤ 120ft.

Now we can solve this for W

2*22ft + 2*W ≤ 120ft

44ft + 2*W ≤ 120ft

2*W ≤ 120ft - 44ft

2*W ≤ 76ft

W ≤ 76ft/2

W ≤ 38ft

To be more precise, we also can add that W must be larger than 0ft, so the inequality becomes:

0ft < W ≤ 38ft

This is the inequality that represents the possible width of the pool.

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