Question

eduardo had 4.5 cups of flour in a jar. he opened a bag of flour, poured in enough to fill the 12 - cup jar completely, and still had some left over in the bag. let x represent how much flour was in the bag to start. which inequality describes the problem? $4.5 + x \geq 12$ $4.5 + x > 12$ solve the inequality. then, complete the sentence to describe the solution. there were more than \boxed{} cups of flour in the bag to start.

Explanation:

Step1: Determine the inequality

Eduardo had 4.5 cups, added \( x \) cups to fill the 12 - cup jar and still had some left. So the total flour from jar and bag (\( 4.5 + x \)) is greater than 12 (since there was leftover). So the inequality is \( 4.5+x>12 \).

Step2: Solve the inequality

Subtract 4.5 from both sides of \( 4.5 + x>12 \).
\( x>12 - 4.5 \)
\( 12-4.5 = 7.5 \), so \( x > 7.5 \).

Answer:

The inequality is \( 4.5 + x>12 \), and there were more than \( 7.5 \) cups of flour in the bag to start.