Solving Linear Inequalities and Systems of Inequalities

For the system of inequalities below, which ordered pairs are solutions? Select all that apply.

• (-2, 0)

• (0, -3)

• (1, -5)

• (5, 5)

• (-5, 5)

For the system of inequalities below, which ordered pairs are not solutions? Select all that apply.

• (2, 0)

• (0, -5)

• (3, 10)

• (5, 10)

• (5, 0)

When graphing the below inequality, which type of line would you use?

• solid

• dotted

• shaded

• unshaded

• solid

• dotted

• shaded

• unshaded

What is important to do when you divide or multiply by a negative when solving an inequality?

• The inequality sign must flip

• The inequality sign must stay the same

• Nothing happens

Which of the following equations match the given graph?

• x ≥ -1

• x ≤ -1

• x > -1

• x < -1

Which of the following equations match the given graph?

• y ≥ 2/5x + 1

• y ≥ -2/5x + 1

• y≤  2/5x + 1

• y ≥ -2/5x - 1

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

Which of the following is not a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

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