Given:
Length of the rectangle = 5 inches
Width of the rectangle = x
Area of the rectangle is at least 20 square inches.
To find:
The inequality for the given problem.
Solution:
Let x represent the width of the rectangle.
We know that the area of a rectangle is:
[tex]Area=Length\times Width[/tex]
[tex]Area=5\times x[/tex]
[tex]Area=5x[/tex]
It is given that, the area of the rectangle is at least 20 square inches. It means the area of the rectangle must be greater than or equal to 20.
[tex]5x\geq 20[/tex]
Therefore, the required inequity for the given problem is [tex]5x\geq 20[/tex].