The range of values for the width w of the garden is 17 ≤ w ≤ 30.
<u>Step-by-step explanation</u>:
Given,
The length of the garden = 11 feet.
The perimeter of the garden = 56 feet (at least is the minimum value)
The perimeter of the garden = 82 feet (not more than is the maximum value)
step 1 :
Perimeter of a rectangle = 2 (length + width)
⇒ 56 = 2 (11 + width)
⇒ 56 = 22 + 2 width
⇒ 34 = 2 width
⇒ width = 34/2
∴ width = 17 feet
step 2 :
Perimeter of a rectangle = 2 (length + width)
⇒ 82 = 2 (11 + width)
⇒ 82 = 22 + 2 width
⇒ 60 = 2 width
⇒ width = 60/2
∴ width = 30 feet
step 3 :
The range of values for width 'w' is 17 ≤ w ≤ 30.
