Combined Inequalities

Graph the inequality:

x ≤ 5 or x > 9

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Solve the compound inequality.

–10 ≤ 2x + 4 < 22

• –3 < x ≤ 13

• –7 ≤ x < 9

• –7 < x ≤ 9

• –3 ≤ x < 13

Solve the inequality:

3(x – 1) ≥ –9

• x ≥ –2

• x ≥ 2

• x ≤ –2

• x ≤ 2

Select the correct graph for each inequality.

• A

• B

• C

• D

Is (0,0) a solution to the system?

• Solution

• Not a solution

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

• Solution

• Not a solution

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)

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2

• y < 2x - 4
  y < 2

• y > 2x - 4
  y <  2 

• y < 2x - 4
  y <   -2

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)