1. Solving Linear Inequalities

2. Linear Inequalities Essential Question
How is solving inequalities alike/different from solving equalities?

3. Greater than or equal to
Inequality Symbols
Less than
Not equal to
Less than or equal to
Greater than or equal to
Greater than
Graph using an open circle
Graph using a closed circle

4. Graphing Inequalities1) 2) 3) 4)

5. Graphing Inequalities—You try!5) 6) 7) 8)

6. Solving Inequalities Solve just like a linear equation EXCEPT:
If you multiply or divide by a negative number, you MUST flip the inequality sign!
Plot the number on a number line & shade
Check a number in your shading in the original inequality

7. Is a point a solution to inequality?
Plug point into inequality and see if it is true.
Example: Is x = - 4 a solution to 2x + 1 < -3

8. Ex: Solve the inequality & graph the solution on a number line.9)
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9. Ex: Solve the inequality & graph the solution on a number line.
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10. Graphing Linear Inequalities
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11. Your Turn!