Systems of Linear Inequalities Feasible Regions

When you graph the system:
y > -2x + 1
y≤ x + 3
Which of the following is a solution?

• (2, 0)
• (-1, 2)
• (0, 4)
• (0, -4)

This graph matches which inequality?

• y > 3
• y ≥ 3
• x≥3
• x>3

Graph:
y≤-2x+5
y>2x+7
Which of the following is NOT a solution?

• (-4, 2)
• (-10, 7)
• (-3, 0)
• (-2, 6)

Given the graph, determine which is NOT a solution.

• (0, 0)
• (2, -1)
• (-2, -2)
• (-5, 1)

Determine the ordered pair that IS a solution.

• (2, 2)
• (2, 4)
• (3, 2)
• (-3, 2)

Is (5, 2) a solution to the system?
2x+4y<20
3x-2y>11

• Yes
• No
• Sometimes

Is (3, -2) a solution to the system?
2x + 2y ≥ -9
x-y<6

• Yes
• No
• Sometimes

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

Solve the system of inequalities by graphing.

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• 
• 
• 

Which point is a solution?

• (0, 6)

• (-3, 5)

• (1, 0)

• (-4, 3)