The area of the rectangle with length (x + 9) inches and width 6 inches is more than 72 square inches. Which inequality can be used to find x?
6(x/9) > 72
To find the inequality, we must compare the area of the rectangle with the given conditions (length = x + 9 inches and width = 6 inches) to the given value of 72 square inches.
The formula for the area of a rectangle is A = length × width. So, in this case, the area of the rectangle is (x + 9) × 6 square inches.
Since we want the area to be more than 72 square inches, the inequality symbol to use is ">". Therefore, the inequality can be written as:
(x + 9) × 6 > 72
Simplifying this inequality further, we have:
6x + 54 > 72
Thus, the inequality that can be used to find x is:
6x + 54 > 72