System of Inequalities and Solutions

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

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

Identify the two inequalities that represents the graph.

• y > ½x - 3

• y ≤ -4x + 2

• y < ½x - 3

• y ≥ -4x + 2

Identify two solutions for the inequalities systems

• (2, 3)

• (4, -2)

• (2, -4)

• (-2, 0)

If I have a system of parallel inequalities the answer is always no solution?

• True, the shaded regions will not overlap

• False, the shaded regions could overlap

Which point below is NOT part of the solution set?

• (0, 0)

• (5, 1)

• (-1, -3)

• (20, -5)

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

• Solution

• Not a solution

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

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

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 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