Objective: To solve and graph compound inequalities involving “or”. Ch 2.3 Compound “or” Objective: To solve and graph compound inequalities involving “or”.

Generally, the inequality symbols will face opposite directions Definition Compound Inequality: Two inequalities connected by the word AND or OR Both inequalities share a graph/number line Rules Solve each equation separately using rules for inequalities Graph each solution separately on the same number line Generally, the inequality symbols will face opposite directions

x < -2 x > 5 x < 5 x > 3 Example 1 Example 2 or Graph -3 -2 -1 0 1 2 3 4 5 6 -3 -2 -1 0 1 2 3 4 5 6 x = Any Real Number

x 5 x 5 ≥ ≥ < < x 10 x 10 Example 3 or Solve and graph. − < − < or − ≥ + + + + < ≥ x 5 x 5 ≥ ≥ < < x 10 x 10 0 5 10

x -7 x -7 ≤ ≤ x 12 x 12 ≥ ≥ Example 4 or Solve and graph. − ≥ − ≤ − − ≥ or − ≤ − − − − − x -7 x -7 ≤ ≤ − ≤ − − − x 12 x 12 ≥ ≥ -7 0 12

n + 5 ≤ -5 or n + 10 > 1 10k > 70 or 2k ≤ -6 Classwork 2) Solve and graph. 1) Solve and graph. n + 5 ≤ -5 or n + 10 > 1 10k > 70 or 2k ≤ -6

Classwork 4) Solve and graph. 3) Solve and graph. or x + 4 > 7 or

Classwork 6) Solve and graph. 5) Solve and graph. -2p + 10 < -10 or 2 – 7p > -61 5 – 7x < -65 or 7x - 9 < -37