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