Exercise 16 Page 168

Practice makes perfect

a By substituting m=-10 into the inequality, we can check whether the inequality holds true.

m(m-3)<54

m= -10

-10( -10-3)? <54

Subtract terms

-10(-13)? <54

- a(- b)=a* b

130≮ 54 *

We know that 130 is not less than 54. Therefore, m=-10 is not a solution to the inequality.

b Let's do the same thing again, and substitute m=0 into the inequality.

m(m-3)<54

m= 0

0( 0-3)? <54

Zero Property of Multiplication

0<54 ✓

Since 0 is less than any positive number, the inequality holds true. Therefore, m=0 is a solution to the inequality.

c Let's substitute m=9 into the inequality and check its validity.

m(m-3)<54

x= 9

9( 9-3)? <54

Subtract terms

9(6)? <54

54≮ 54 *

A number cannot be less than itself. Hence, m=9 is not a solution to the inequality.

Lesson Check p.167

Practice and Problem-Solving Exercises p.168-170

Standardized Test Prep p.170

Mixed Review p.170

Hints