Representing Linear Inequalities

Write the system of inequalities Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing. Which region represents less than 300 seats sold?

• Red

• Blue

• Purple (red and blue overlap)

• Non Shaded

Rewrite this inequality in "y=" form to graph.  3x - 6y > 12

• y > ¹/₂x - 2

• y < -¹/₂x + 2

• y < ¹/₂x - 2

• y > -3x - 2

Graph the solution set for the system of inequalities: 1) 2x - y > 3 2) x + 3y ≤ 5 3) 4x + 2y < 8

• The solution set is the shaded region that overlaps only one of the regions.

• The solution set is the shaded region that overlaps only two of the regions.

• The solution set is the shaded region that overlaps all three regions.

• The solution set is the shaded region that does not overlap any of the regions.

What is a possible solution to the system of inequalities?

• (0, 0)

• no solution

• (-5, 2)

• (5, -2)

x + y < 0

• y > -x

• y < x

• y < - x

x + 1y < 1

• y < -x + 1

• y > -x + 1

• y < x + 1

• y < -x -1

Which system matches?

Choose the correct inequality for this graph.

Choose the correct inequality for this graph.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

• Yes because it is located in the shaded region.

• No because it is located on the line and the line is dotted.

• Yes because it is located on the line.

• No because it is in the shaded region.