Solving One-Step Inequalities

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Presentation transcript:

Solving One-Step Inequalities SWBAT solve one step inequalities and graph them on a number line.

Warm Up Graph the following inequality on a number line: x > 9 Write an inequality that matches the graph. In order to reserve a room at the bowling alley, Lindsey must have at least 10 people. Write an inequality to model the situation and then graph it.

Review: Graphing Inequalities What type of circle do we use for > or < ? Why? What direction does the arrow go for > or > ? What about for less than or less than or equal to?

Limitations When do we use limitations? How do we graph a limitation?

Solving One-Step Inequalities Good news! It’s the same thing as solving an equation  Ex: x + 4 > 12 We still use inverse operations to isolate the variable, so we subtract 4 from each side. x > 8

You Try! Solve the following inequalities: x + 8 > 11 x/4 < 3 6 > 2x

Partner Practice With the person next to you, solve the following inequalities and graph on a number line. 4 + x < 7 6. x/ 9 > 3 9x < 18 7. 5x > 10 15 < 4 + x 8. x ÷ 3 > 5 x - 5 > 8 9. 7 < x – 2 11 > x/2 10. 3x > 9