9.4Inequalities and Absolute Value

Standard 3.0, 5.0Two Key Terms

Conjunctions (Less Than)1. Solving Inequalities with Absolute Values:

bA

Create a Conjunction

bA

Positive InequalityNegative Inequality

and bA

Opposite Signs

No Change

Disjunctions (Greater Than)

2. Solving Inequalities with Absolute Values:

bA

Create a Disjunction

bA

Positive InequalityNegative Inequality

or bA

Opposite Signs

No Change

#1 Solve and Graph

5a

0 1 2 3 4 5 6-1-2-3-4-5-6

Conjunction or Disjunction?

5or 5 aa

All real number greater than 5 OR less than -5

#2 Solve and Graph1062 x

4 5 6 7 8 9 103210-1-2

Conjunction or disjunction?

1062 x

All real numbers greater than or equal to -2 AND less than or equal to 8.

1062 x and162 x

8x42 x

2xand

#3 Solve and Graph

0 1 2 3 4 5 6-1-2-3-4-5-6

Conjunction or Disjunction?

633or 633 mm

All real numbers less than -3 OR greater than 1

633 m

33or 93 mm1or 3 mm

#4 Solve and Graph

0 1 2 3 4 5 6-1-2-3-4-5-6

Conjunction or Disjunction?

243 x

243 x

243 x and23 x

32

x

63 x

2xand