4 minutes Warm-Up Solve.

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

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

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

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

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

Practice Solve and graph.

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

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

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

Practice Solve and graph. Find the solution set.