Systems of inequalities

Systems of inequalities

Multiple Choice

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

Multiple Choice

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

Solving Systems of Inequalities

• Graph Each Inequality.

• The solution is where the inequalities overlap.

Multiple Choice

Solve the system of inequalities by graphing.

Multiple Choice

Solve the system of inequalities by graphing.

Multiple Choice

Match

• y < x−2 
  y < 3
• y > -x+2
  y > 3
• y < -x+2
  y < 3
• y < -x+2
  y > 3

Multiple Choice

• A

• B

• C

• D

Determining if an ordered pair is a solution to an inequality.

An ordered pair is a solution to an inequality if it lies in the shaded area or on a solid boundary line.

Ordered pairs that lie on a dashed boundary line are NOT solutions.

Multiple Choice

Which point is a solution?

• (0, 6)

• (-3, 5)

• (1, 0)

• (-4, 3)

Multiple Choice

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)

Multiple Choice

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

• (0,-1)
• (0,3)
• (4,0)
• (6,-2)

Multiple Select

For the system of inequalities below, which ordered pairs are not solutions? Select all that apply.

$$y<2x+4$$  

$$2x-y\le4$$  

• (2, 0)

• (0, -5)

• (3, 10)

• (5, 10)

• (5, 0)

Multiple Choice

Is (-2,4) a solution to the system?

• Solution
• Not a solution

Multiple Choice

Which point is not a solution?

• (1, 6)

• (-1, 1)

• (3, -2)

• (5, 0)

Multiple Select

Which points are not solutions?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

• (3,2)