Question

mr. russo had 6.25 cubic feet of potting soil in his raised garden bed. then he took a bag of soil and poured in enough to completely fill the 9 - cubic - foot bed. let x represent how much soil was in the bag. which inequality describes the problem? 6.25 + x ≥ 9 6.25 + x > 9 solve the inequality. then, complete the sentence to describe the solution. there was at least cubic feet of soil in the bag.

Explanation:

Step1: Determine the inequality

The initial soil is \( 6.25 \) cubic feet, and we add \( x \) cubic feet from the bag. The bed has a capacity of \( 9 \) cubic feet, and we need to fill it completely (so the total soil can be equal to or more than \( 9 \)). Thus, the inequality is \( 6.25 + x \geq 9 \).

Step2: Solve the inequality

Subtract \( 6.25 \) from both sides:
\( 6.25 + x - 6.25 \geq 9 - 6.25 \)
Simplify: \( x \geq 2.75 \).

Answer:

The inequality is \( 6.25 + x \geq 9 \), and there was at least \( 2.75 \) cubic feet of soil in the bag.