1. Section 6.8 Solve Two-Step Inequalities
Name __________________
Section 6.8 Solve Two-Step Inequalities
Objective: To solve and graph two-step inequalities

2. Inequalities:

3. Open and Closed Dots
When graphing inequalities, an open dot is used when the value should not be included in the solution, as with > and < inequalities.
A closed dot indicates the value is included in the solution, as with < and > inequalities.

4. Solve a Two-Step Inequality
A two step inequality is an inequality that contains two operations.
To solve a two-step inequality, use inverse operations to undo each operation in reverse order of the order of operations.

5. Examples
1. Solve 3x + 4 > 16. Graph the solution set on a number line.

6. Examples
2. Solve 5 + 4x < 16. Graph the solution set on a number line.

7. Examples
3. Solve 7 – 2x > 11. Graph the solution set on a number line.

8. Write and Solve Inequalities
4. Three times a number increased by four is less than -62.
5. The quotient of a number and 3minus two is at least -12.

9. Try

10. Try
3. Halfway through the bowling season, Stewart has 34 strikes. He averages 2 strikes per game. Write and solve an inequality to find how many more games it will take for Stewart to have at least 61 strikes.

11. Essential Question Compare 2x + 8 > 18 and 2x + 8 < 18.
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