John is creating a rectangular garden in his backyard. the length of the garden is 16 feet. the perimeter of the garden must be at least 70 feet and no more than 112 feet. use a compound inequality to find the range of values for the width w of the garden

We can write the range for w as :

Step-by-step explanation:

The perimeter of rectangle is given as :

 or

Where l = length and w = width

Given is : the length of the garden is 16 feet

Also given is that the perimeter of the garden must be at least 70 feet and no more than 112 feet.

So, this can be shown as :

=>

Putting l = 16

=>

=>

=>

=> and

=> and

=> and

So, we can write the range for w as :

2x + 8

step-by-step explanation: