Inequalities in Two Variables

Select the correct graph for each inequality.

• A

• B

• C

• D

Which of the following equations match the given graph?

• y ≤ -3/4 x + 3

• y ≥ -3/4 x + 3

• y < -3/4 x + 3

• y > -3/4 x + 3

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (1, -1)

• (5, 20)

What is the inequality represented here? 

• y < -2| x | + 3

• y > 2| x | - 3

• y ≤ 2| x | + 3

• y ≤ -2 | x | + 3

What is the inequality graphed here? 

• y ≤ | x | + 1

• y ≤ | x + 1 |

• y ≤ .5 | x | + 1

• y ≤ .5 | x + 1 |

Select the correct graph for each inequality.

• A

• B

• C

• D

Are the points on the boundary line part of the solution set or not?

• Yes, they are part of the solution set

• No, they are NOT part of the solution set

How can I tell if an inequality will have a solid line?

• It has an equal sign.

• The symbol is greater than.

• The symbol has "or equal to."

• You just guess.

What is the inequality graphed here? 

• y ≤ | x + 3 | + 2

• y ≥ | x + 3 | + 2

• y >  | x - 3 | + 2

• y <  | x + 3 | - 2

Which ordered pair is NOT a solution? 

• (1, -1)

• (-1, 1) 

• (2, 2)

• (2, -2)