Learning ObjectiveWe will learn how to graph Linear Inequalities.We will apply linear inequalities to real-world

situations and understand where appropriate constraints apply.

GSEA.REI.12 – Graph the solution set to a linear

inequality in two variables.

A company that manufactures MP3 players needs to hire

more workers to keep up with an increase in orders. Some

workers will be assembling the players and others will be

packaging them. The company can hire no more than 15 new employees.

Write a linear inequality that can model this situation.

Let x = the number of workers who will assemble the MP3 players.

Let y = the number of workers who will package the MP3 players.

①Find the x and y intercepts and graph the function.

②Will the line be dashed or solid? Why? What does this mean about the solutions to the equation?

①Are there constraints for the graph? Why?

② Where would the constraints be?

Where would we shade the graph?

①Test the point (0, 0) in the inequality and see if it makes the inequality true.

②What would this point mean about the word problem?

③ Is all of the shaded region appropriate solutions for the context?

④Shade the appropriate region.

x & y-interceptWhat does x-intercept mean in relationship to

the context?What does the y-intercept mean in relationship

to the context?

Continuous or Discrete?Why?How do we graph this differently?What does this mean?Choose 2 points that are one the line or in the

shaded regions. Be prepared to discuss what your points mean in relationship to the context.

Find Missing Points If they hire 7 people to assemble the MP3

players how many people will package them?If they hire 4 people to package the MP3 players

how many people will assemble them?