Solve the inequality first, then create your polygon.
Example solution:
Practice makes perfect
In order to create a polygon with an acceptable perimeter, we should solve the absolute value inequality first. Then we can know which perimeter values we can choose. We can rewrite the given absolute value inequality as an "and" compound inequality:
|P-60|≤12 ⇒ -12≤ P-60≤12
We can then use the Addition Property of Inequalities and add 60 to all three sides to get our solution set:
48≤ P≤72.
The perimeter of our polygon may be any values between 48 and 72, inclusive. Here is an example of a rectangle with a perimeter of 56.
