Solving Inequalities and Systems of Inequalities

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 is shown?

• y ≥ -x - 1
  y < x + 4

• y < -x - 1
   y ≥ x + 4

• y > -x - 1
  y ≥ x + 4

• y > -x - 1
  y ≥ x + 3

Which point below is NOT part of the solution set?

• (0, 0)

• (5, 1)

• (-1, -3)

• (20, -5)

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

Which of the following linear inequalities represents the graph?

Which of the following linear inequalities represents the graph?

Which linear inequality matches the graph?

• y ≤ -2x - 1

• y ≥ -2x - 1

• y ≤ 2x - 1

• y ≥ 2x - 1