Exercise 13 Page 168

Practice makes perfect

a By substituting m=2 into the inequality, we can check whether the inequality holds true.

8m -6 ≤ 10

m= 2

8( 2) -6 ? ≤ 10

16 -6 ? ≤ 10

Subtract terms

10≤10 ✓

Since 10 is equal to 10, the inequality is true. This means that m=2 is a solution to the inequality.

b Let's do the same thing again and substitute m=3 into the inequality.

8m -6 ≤ 10

m= 3

8( 3) -6 ? ≤ 10

24 -6 ? ≤ 10

Subtract terms

18≰ 10 *

We know that 18 is not less than or equal to 10. Therefore, m=3 is not a solution to the inequality.

c Let's substitute m=-1 into the inequality and check its validity.

8m -6 ≤ 10

m= -1

8( -1) -6 ? ≤ 10

-8 -6 ? ≤ 10

Subtract term

-14≤10 ✓

A negative number is always less than a positive number. Hence, the inequality is true. This means that m=-1 is a solution.

Lesson Check p.167

Practice and Problem-Solving Exercises p.168-170

Standardized Test Prep p.170

Mixed Review p.170

Hints