1. 4 minutes
Warm-Up
Solve.

2. 2.6.2 Inequalities and Absolute Value
Objectives:
To solve and graph inequalities involving absolute value

3. Conjunctions and Inequalities
x = 3
or x = -3
YES NO -2 -1 1 2 -3 -4 -5 3 4 5 -5 -3 -2 -1 1 2 3 4
Find four other points that satisfy
How would you write this conjunction?
x < 3
and
x > -3
-3 < x < 3

4. Example 1
Solve and graph
and -2 -1 1 2

5. Example 2
Solve and graph
and
and -2 -1 1 2 -3 -4 -5 3 4 5

6. Example 3
Solve and graph
and -2 -1 1 2 3 4 5 6 7 -3

7. Practice
Solve and graph.

8. Disjunctions and Inequalities-2 -1 1 2 -3 -4 -5 3 4 5
The solution is the disjunction x > 3 or x < -3.
{x x < -3 or x > 3}
solution set

9. Example 4
Solve and graph or -2 -1 1 2 3 4 5 6 7 -3
solution set

10. Example 5 or 3x + 2 < -4 3x + 2 > 4 3x > 2 3x < -6
Solve Graph your solution on a number line. or
3x + 2 < -4
3x + 2 > 4
3x > 2
3x < -6
x < -2 -2 -1 1 2
solution set

11. Practice
Solve and graph. Find the solution set.