Do Now Solve and graph. – 2k – 2 < – 12 and 3k – 3 ≤ 21

Inequalities With “3 Sides” – 5 < x – 4 < 2 An inequality of this type can be rewritten as two separate inequalities with AND in between them. Use the first two “sides” – 5 < x – 4 < 2 Use the last two “sides” – 5 < x – 4 < 2 Rewrite as: – 5 < x – 4 AND x – 4 < 2

Now solve and graph. – 5 < x – 4 AND x – 4 < 2

Practice 1)4 < w + 3 ≤ 5

– 5 < 2x – 3 ≤ 15

Inequalities Containing OR x < – 1 or x ≥ 3 The solution is all of the numbers that are in the first inequality OR in the second inequality. On the graph, the solution is the union of both graphs. ( Graph both inequalities on the same graph.)

Graph. x < – 1 or x ≥ 3

Solve and graph. – 3h + 4 > 19 or 7h – 3 ≥ 18

Write a compound inequality for each graph. 1) 2) 3)

Mixed Practice Solve and graph. 5 < 2w + 3 ≤ 11

3z + 1 < 13 or – 2z ≥ 8

n – 7 ≤ – 5 or n – 7 > 1