Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
2. Solving Inequalities Using Addition or Subtraction
Continue to next subchapter

Exercise 32 Page 66

How do you calculate a perimeter? Write it as an inequality with the given restriction.

Inequality: 14.2+15.5+x<51.3
Solution: x<21.6

Practice makes perfect

We are asked to find the possible values of x which is the missing side length of the given triangle. Let's take a look at the given figure.

We will first find the perimeter by adding the three sides of the given triangle. Perimeter=14.2+15.5+x We are also given that the perimeter is less than 51.3 inches. Perimeter< 51.3 By substituting the expression for the perimeter we formed above, we can form an inequality. 14.2+15.5+x< 51.3 Let's now solve this inequality by isolating x.

14.2+15.5+x<51.3
29.7+x<51.3
x<21.6

The length of the unknown side x must be less than 21.6 inches.