write an inequality that expresses when you would use a 20% off coupon for $5 off when you spend $20 or more.
To express the condition for using a 20% off coupon for a $5 discount when you spend $20 or more, we can use the inequality statement:
0.20x ≥ 5
Here, "x" represents the amount you spend before applying the coupon. The left-hand side of the inequality, 0.20x, calculates the 20% of the amount "x" spent. The right-hand side, 5, indicates that the discount you will receive needs to be at least $5.
In addition to this inequality, we need to express the spending requirement of $20 or more. Thus, we can add that condition to the inequality:
x ≥ 20
By combining the two conditions, we can get the complete inequality:
0.20x ≥ 5 and x ≥ 20