Graphing Inequalities and Solving 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 + 4
• y > 3x   and  y < -2x + 4

Match the system to the graph.

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

Match the system to the graph. 

• y ≥ -x - 1 and y < x + 4
• y < -x - 1 and y ≥ x + 4
• y > -x - 1 and y ≥ x + 4
• y > -x - 1 and y ≥ x + 4

Match the system to the graph (solution set is the purple area)

• y > -4/5x - 1 and y ≤ 2/3x + 3
• y ≥ -4/5x - 1 and y ≤ 2/3x + 3
• y < -4/5x - 1 and y < 2/3x + 3
• y < -4/5x - 1 and y ≥ 2/3x + 3

Which system of inequalities matches the graph?

• x> -2
  y < -4
• x< 2
  y> 4
• x >  2
  y <  4  
• x > 2
  y <- 4

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

• (0,-1)
• (0,3)
• (4,0)
• (6,-2)

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

• (0,-1)
• (0,3)
• (4,0)
• (6,-2)

Match

• y ≥ -x - 1 and y < x + 4
• y < -x - 1 and y ≥ x + 4
• y > -x - 1 and y ≥ x + 4
• y > -x - 1 and y ≥ x + 4

Which solution 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

Fewer Than

• <
• >
• ≤
• ≥