office max is offering a $40 rebate on all color printers. Sara is looking at a few different color printers that range in price from $165 to $295. How much can she plan to pay after the rebate? form a compound inequality to represent this problem and solve.

Answer 1

Let's represent the price of the color printers with the variable "x".
The compound inequality that represents the problem is: $165 \le x \le 295.
After applying the $40 rebate, the new price would be: x - 40.
So, the compound inequality for the price after the rebate is: $165 - 40 \le x - 40 \le 295 - 40.
Simplifying this inequality: $125 \le x - 40 \le 255.
To find the range of prices after the rebate, we can add 40 to each part of the compound inequality:
125 + 40 ≤ x - 40 + 40 ≤ 255 + 40,
165 ≤ x ≤ 295.
Therefore, Sara can expect to pay between $165 and $295 after the rebate.