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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

2. Solving Inequalities Using Addition or Subtraction

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Exercise 4 Page 61

Practice makes perfect

a

Let's solve each inequality using addition and subtraction. We can subtract 3 from both sides to isolate the x.

x+3<4

LHS-3=RHS-3

x+3-3<4-3

Subtract terms

x<1

b

We can add 3 to both sides to isolate the x.

x-3≥5

LHS+3=RHS+3

x-3+3≥5+3

Add terms

x≥8

c

We can add 2 to both sides to isolate the x.

4>x-2

LHS+2=RHS+2

4+2>x-2+2

Add terms

6>x

Rearrange inequality

x<6

d

We can subtract 1 from both sides to isolate the x.

-2≤ x+1

LHS-1=RHS-1

-2-1≤ x+1-1

Subtract terms

-3≤ x

Rearrange inequality

x≥-3

Subchapter links

Communicate Your Answer p.61

Monitoring Progress p.62-64

Exercises p.65-66