Solving Equations and Inequalities Graphically

Identify the two inequalities that represents the graph.

• y ≤ -4x + 2

• y ≥ -4x + 2

Solve the system of inequalities by graphing.

• 
• 
• 
• 

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 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

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Select the two inequalities that would represent the system of inequalities for the given graph.

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0, 3)

• (3, 0)

• No solution(parallel lines)

• Infinitely many solutions

Which is the graph of the system of inequalities?

• 
• 
• 
• 

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)