Presentation on theme: "Inequalities and their Graphs"— Presentation transcript:
1 Inequalities and their Graphs Chapter 3 Section 1Inequalities and their Graphs
2 What do Inequalities Mean? You already know that equations are mathematical statements that describe two expressions with equal values. When the values of two expressions are not equal, their relationship can be described in an inequality.
3 What do Inequalities Mean? <>Less thanFewer thanLess than or equal toAt mostNo more thana maximum ofGreater thanMore thanGreater than or equal toAt leastNo less thanA minimum of
4 Let’s see some examples Suppose the minimum driving age in your state is 16. Write an inequality to describe people who are of legal driving age in your state.Let d represent the ages of people who are of legal driving ageAre greater than or equal toThe ages of all drivers16 yearsd16
5 What do Inequality Graphs look like? <>Less than has an open ended graph, and the arrow points to the leftLess than or equal to has a CLOSED ended graph and points to the leftGreater than has an open ended graph and the arrow points to the rightGreater than or equal to has a closed ended graph and points the right
6 Notice…The “Equals To” graphs are closed, while the less than or greater than is not closed.Think of it like this, if it has an extra bar in the symbol, it is closed.
7 Let’s look at some graphs Graph these please.Hint: remember when you are supposed to use a filled or empty circle.
8 Your turn! Graph these please. Hint: remember when you are supposed to use a filled or empty circle.
9 One more problem… Find the numbers that make this inequality true. 4 -6-413-7noyesyesHint: plug it in, plug it innonoyes
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