Graph Solution Set for Inequalities

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

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

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

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 of the following correctly shows the system of inequalities graphed on a coordinate plane? (Hint: the darkest shaded region represents the solution set.) \(4x+y<2\) \(y>-2\)

• 
• 
• 
• 

Identify all solutions for the graph

• (2, 3)

• (4, -2)

• (2, -4)

• (-2, 0)

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

• 
• 
• 

Which ordered pair(s) is a solution to the given system?

• (5,0)

• (1,-3)

• (3,3)

• (2,1)