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Algebra 1

2.13.5 Graphing Solutions to an Inequality

Algebra 12.13.5 Graphing Solutions to an Inequality
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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?

2.

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

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.

4.

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

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5.

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

xx yy
4 4
1 5
-2 3
0 0
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