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Presentation transcript:

Graphing on the Number Line Compound Inequalities Story Problems Absolute – Value Graphing with two Variables

Graph the inequality.

Solve the inequality and graph its solution.

Remember to flip the inequality symbol when dividing (or multiplying) by a negative number.

Solve the inequality and graph its solution.

Write an inequality that represents the statement and graph the inequality. x is greater than 5 or less than 3

or

Solve the inequality and graph the solution. or

Solve the inequality and graph the solution.

Solve the inequality and graph the solution. Then check whether the given x-value is a solution.

Yes, 0 is a solution.

You earn $8.75 per hour at your job. Write an inequality to show how many hours h you need to work to save at least $280. Graph the inequality on a number line.

A membership to a fitness club has an initiation fee of $90. Each month you are billed an additional $30. Solve an inequality to find the maximum amount of time you can be a member for $600.

On the Illinois’ interstate highway the speed limit is 65 mph. The minimum speed is 45 mph. Write a compound inequality that represents the speeds at which you may legally drive.

A store carries $2400 worth of various types of calculators. A scientific calculator cost $20 and a graphing calculator cost $80. Let x represent the number of scientific calculators in stock. Let y represent the number of graphing calculators in stock. Write and graph the inequality that describes the different number of scientific and graphing calculators in stock.

x-intercept: y-intercept: Test (10,10)

You have $125 to spend on school clothes. It cost $20 for a pair of pants and $15 for a shirt. Let x represent the number of pants you can buy. Let y represent the number of shirts you can buy. Write and graph an inequality that describes the different number of pants and shirts you can buy.

x-intercept: y-intercept: Test (10,10)

Solve the equation.

Solve the inequality.

Solve the inequality. Then graph the solution.

Sketch the graph of the inequality.

Test

Sketch the graph of the inequality.

x-intercept: y-intercept: Test (0,0)

Sketch the graph of the inequality.

x-intercept: y-intercept: Test (2,2)