Question

Kerel is creating a rectangular dog run in his backyard. The length of the dog run is
67 feet. The perimeter of the dog run must be at least 281 feet and no more than 608 feet. Use a compound inequality to find the range of values for the width of the dog run. Round your answer to one decimal point, if necessary.

Answer 1

The range of values for the width of the dog run is 73.5 ≥ w ≤ 237

Compound inequality

Perimeter of a rectangle = 2(length + width)

• Length = 67 feet
• Width = w

The inequality:

281 ≥ 2(67 + w) ≤ 608

281 ≥ 134 + 2w ≤ 608

solve independently

281 ≥ 134 + 2w

281 - 134 ≥ 2w

147 ≥ 2w

w ≥ 147/2

w ≥ 73.5

2(67 + w) ≤ 608

134 + 2w ≤ 608

2w ≤ 608 - 134

2w ≤ 474

w ≤ 474 / 2

w ≤ 237

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Answer 2

The width of the dug run is 73.5 ≤ w ≤ 237

What is a compound inequality?

A compound inequality is an inequality formed by combining two simple inequalities.

Analysis:

Let the width of dug run be w

perimeter = 2(67 + w) = 134 + 2w

   281 ≤ 134 + 2w

     147 ≤ 2w

     73.5 ≤ w

 Also, 134 + 2w ≤ 608

        2w ≤ 474, w ≤237

In conclusion, the range of values of the width of the dug run is 73.5≤w≤237

Learn more about compound inequality: brainly.com/question/1604153

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