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**Inequalities and their Graphs**

Chapter 3 Section 1 Inequalities and their Graphs

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**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.

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**What do Inequalities Mean?**

< > Less than Fewer than Less than or equal to At most No more than a maximum of Greater than More than Greater than or equal to At least No less than A minimum of

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**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 age Are greater than or equal to The ages of all drivers 16 years d 16

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**What do Inequality Graphs look like?**

< > Less than has an open ended graph, and the arrow points to the left Less than or equal to has a CLOSED ended graph and points to the left Greater than has an open ended graph and the arrow points to the right Greater than or equal to has a closed ended graph and points the right

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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.

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**Let’s look at some graphs**

Graph these please. Hint: remember when you are supposed to use a filled or empty circle.

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**Your turn! Graph these please.**

Hint: remember when you are supposed to use a filled or empty circle.

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**One more problem… Find the numbers that make this inequality true. 4**

-6 -4 1 3 -7 no yes yes Hint: plug it in, plug it in no no yes

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Assignment Page 134 #2-48 evens # 71

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Inequalities work the same way as equations. The difference is the number of solutions.

Inequalities work the same way as equations. The difference is the number of solutions.

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