Compound Inequalities Section 4-5

What are compound Inequalities? They are two inequalities that are joined by either and or or.

When solving compound inequalities First break up the compound inequality into two separate inequalities Example: 2<x<7 Now graph them seperately x>2 and x<7 Now where they overlap is the solution to your graph

Simplifying Inequalities Your goal is to get the variable in between the inequalities alone. Books method:

Simplifying Inequalities

Now graph each inequality separately and where they overlap is the graph

Now try #7 2 < 3n – 4 < 14 Now who wants to come up to the board?

Now solving for or 21. 3b – 1 9 Solve each separately 3b – 1 9 b 2 Now graph, wherever the lines lie on graph is the solution

Now try # k > 3 or 6k < -30