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Graphing Solutions to an Inequality

2.13.5 Graphing Solutions to an Inequality

2.13.5 • Graphing Solutions to an Inequality

Cool Down

For questions 1 – 4, use the following scenario to write, graph, and find solutions to inequalities.

A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for $15 each and balcony tickets for $12 each. They want to make at least $3,000 in ticket sales.
1.

How much money will they collect for selling xx floor tickets?

Compare your answer:

15x15x

2.

How much money will they collect for selling yy balcony tickets?

Compare your answer:

12y12y

3.

Write an inequality whose solutions are the number of floor and balcony tickets sold if they make at least $3,000 in ticket sales.

Compare your answer:

15x+12y≥3,00015x+12y≥3,000

4.

Use the graphing tool or technology outside the course. Graph the inequality that represents this scenario using the Desmos tool below.

Access multimedia content

Compare your answer:

Graph of an inequality on a coordinate grid.
5.

Write 3 linear inequalities in two variables given this table of values:

xx yy
4 4
1 5
-2 3
0 0

Compare your answer:

Answers will vary.