Linear Programming and Systems of Inequalities

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.

• 
• 
• 
• 

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

This system has an infinite number of solutions, TRUE or FALSE?

• TRUE
• FALSE

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

Solve the system of inequalities by graphing.

• 
• 
• 
• 

Which point is not a solution?

• (1, 3)
• (-1, 2)
• (3, -2)
• (5, 0)

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

Fewer Than

• <
• >
• ≤
• ≥