Question

A rectangle with a length of 4x

feet and a width of 5
feet must have a total area between 100
and 1,000
sq. feet, inclusive.

Write a compound inequality for the area written in terms of x
.

Answer 1

The inequality would be set up smallest area
The area of the rectangle is 5(4x)

100<5(4x)<=1000

Then you can solve like a regular double sided inequality

20<4x<=200
5