Representing Solutions of Linear Inequalities in Two Variables on a Graph

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Match the inequality to the graph.

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

• Solution
• Not a solution

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

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 system of inequality is shown?

• y > -1/5x - 1/2  
   y ≥ -2x - 4
• y > -1/5x - 1/2  
   y ≤ -2x - 4
• y ≥ -1/5x - 1/2
   y ≤ -2x - 4
• y < -1/5x - 1/2  
  y ≥ -2x - 4