Exercise 14 Page 168

Practice makes perfect

a By substituting x=0 into the inequality, we can check whether the inequality holds true.

4x+2<-6

x= 0

4( 0)+2? <-6

Zero Property of Multiplication

0+2? <-6

Identity Property of Addition

2≮ -6 *

A positive number cannot be less than a negative number. Therefore, x=0 is not a solution.

b Let's do the same thing again, and substitute x=-2 into the inequality.

4x+2<-6

x= -2

4( -2)+2? <-6

-8+2? <-6

Add terms

-6≮-6 *

A number cannot be less than itself. Therefore, x=-2 is not a solution to the inequality.

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

4x+2<-6

x= 1

4( 1)+2? <-6

a * 1=a

4+2? <-6

Add terms

6≮ -6 *

Again, a positive number cannot be less than a negative number. Therefore, x=1 is not a solution.

Lesson Check p.167

Practice and Problem-Solving Exercises p.168-170

Standardized Test Prep p.170

Mixed Review p.170

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