Systems of Linear Inequalities

Match: the overlap 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

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Which point is not a solution?

• (1, 3)
• (-1, 2)
• (3, -2)
• (5, 0)

Graph each system of linear inequalities and describe the solutions.
y > x + 1
y < x - 4

• Between the graphs
• above the graph y > x + 1
• below the graph y < x - 4
• No Solution

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 linear inequalities is represented by the graph?

• y≤2x-1
  y>-2x+3
• y>2x-1
  y≤-2x+3
• y<2x-1
  y≥-2x+3
• y≤2x-1
  y>2x+3

Solve the system of inequalities by graphing.

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