Question

Write and solve an inequality that represents the values of x for which the area of the rectangle will be at least 35 square feet.

A. x ≤ 7
B. x ≥ 5
C. x < 5
D. x > 7

Answer 1

The inequality that represents the values of x for which the area of the rectangle will be at least 35 square feet is x ≤ 7.

Step-by-step explanation:

To find the values of x for which the area of the rectangle will be at least 35 square feet, we can use the formula for the area of a rectangle which is length times width. Let's say the length of the rectangle is x and the width is 35/x since we want the product to be at least 35. So the inequality is x * (35/x) ≥ 35. Simplifying this, we have 35 ≥ 35. Therefore, the answer is x ≤ 7. The correct option is A.