Graphing, Writing and Solving Systems of Linear Inequalities

Identify the graph represented by the following system of

inequalities.

2x - y > 4

4x + 2y < 6

• 
• 
• 

The owner of Mark's Meat Market orders beef and chicken. He wants to but at least 50 pounds of meat but cannot spend more than $300. Beef is $3 a pound and chicken is $2 a pound.
Which system of inequalities models this situation?

A radio station is giving away tickets to a concert. There are $10 tickets and $20 tickets. They want to give away at least 20 tickets but want to spend at most $280. Let x = the number of $10 tickets Let y = the number of $20 tickets Which system of inequalities models the situation?

Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4
Take your time!

• (0, 0)

• (2, 1)

• (2, 2)

• (-1, 1)

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

Select the correct graph for each inequality.

• A

• B

• C

• D

Select the correct graph for each inequality.

• A

• B

• C

• _D

Select the correct graph for each inequality.

• A

• B

• C

• D

Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  y ≤ -2x + 4

• y > 3x   and  y > -2x + 4

• y < 3x   and  y > -2x + 3

• y > 3x   and  y < -2x + 4

Which of the following is not a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)