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.
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.
To solve this problem, we need to form a compound inequality that represents the range of prices for the color printers after the rebate. Let's suppose the price of a color printer is represented by the variable "x".
The compound inequality would be:
165 ≤ x ≤ 295
Now, to find the price after the rebate, we subtract $40 from both sides of the inequality:
165 - 40 ≤ x - 40 ≤ 295 - 40
Simplifying the inequality, we have:
125 ≤ x ≤ 255
Therefore, Sara can plan to pay any amount within the range of $125 to $255 after the rebate.
To solve this problem and form a compound inequality, we need to consider the range of prices for the color printers and the rebate offer. Let's assume the range of prices is represented by the variable "x."
Given that the price range of the printers is from $165 to $295, we can represent this as the inequality:
$165 ≤ x ≤ $295
Now, we need to consider the $40 rebate. To calculate the amount that Sara can plan to pay after the rebate, we subtract $40 from the price range:
$x - $40
Therefore, the compound inequality representing this problem is:
$165 - $40 ≤ x - $40 ≤ $295 - $40
Simplifying the inequality:
$125 ≤ x - $40 ≤ $255
To find the values of x, we can add $40 to each part of the compound inequality:
$125 + $40 ≤ x ≤ $255 + $40
Simplifying further:
$165 ≤ x ≤ $295
Therefore, Sara can plan to pay between $165 and $295 after the rebate.