Exercise 37 Page 66

Practice makes perfect

a Let's begin by solving the inequality.

x+8<14

SubIneq

LHS-8

x+8-8<14-8

SubTerms

Subtract terms

x<6

All numbers that are less than 6 are in the solution set. This means that all numbers that are greater than or equal to 6 are not in the solution set. x≥ 6 We can graph this inequality by placing a closed dot on 6 on a number line and shading to the right.

b Let's begin by solving the inequality.

x-12≥ 5.7

AddIneq

LHS+12≥RHS+12

x-12+12 ≥ 5.7+12

AddTerms

Add terms

x≥ 17.7

All numbers that are greater than or equal to 17.7 are in the solution set. This means that all numbers that are less than 17.7 are not in the solution set. x<17.7 We can graph this inequality by placing an open dot at 17.7 on a number line and shading to the left.

Subchapter links

Communicate Your Answer p.61

Monitoring Progress p.62-64

Exercises p.65-66

Exercise 37 Page 66

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