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Daniel is creating a rectangular garden in his backyard. The length of the garden is 14 feet. The perimeter of the garden must be at least 58 feet and no more than 66 feet. Use a compound inequality to find the range of values for the width w of the garden.

Sagot :

Using a compound inequality, the range of values for the width w of the garden is; 15 ≤ w or w ≤ 19

How to write compound inequality?

The perimeter of rectangle is given as:

P = 2 (l + w) = 2l + 2w

Given: The length of the garden is 14 feet

Also given is that the perimeter of the garden must be at least 58 feet and no more than 66 feet. So, this can be shown as below,

58 ≤ P ≤ 66

58 ≤ 2l + 2w ≤ 66

As given, l = 14 feet, the above equation would be;

58 ≤ 2(14) + 2w ≤ 66

58 ≤ 28 + 2w ≤ 66

58 - 28 ≤ 2w ≤ 66 - 28

30 ≤ 2w ≤ 38

Thus;

30 ≤ 2w or 2w ≤ 38

15 ≤ w or w ≤ 19

Read more about Compound Inequality at; https://brainly.com/question/22056916

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