Practice with
Compound Linear Inequalities
 Topic Index | Algebra Index | Regents Exam Prep Center


Solve the following problems dealing with linear inequalities.

1.

In the set of positive integers, what is the solution set of the inequality  2x - 3 < 5 ?

{0, 1, 2, 3}
 {1, 2, 3}
 {0, 1, 2, 3, 4}
 {1, 2, 3, 4}

 



 

2.

Which of the following is not a solution of 
                  -4 < -6x + 2 < 8  ?

0
 1
2
 -1
 


 

3.

Which of the following expressions is represented by the graph shown below?

 


 

4.

Ashley has a $20 bill and needs to buy three Hallmark Blossom birthday cards at $2.55 each.  With the left over money she would like to buy as many Paw Note thank you cards as possible.  If the thank you cards cost $2.99 each, how many thank you cards can she purchase?  An algebraic solution is expected.

3 thank you cards
 4 thank you cards
 5 thank you cards

 


 

5. Which expression has the entire number line as its graph?  
 

Choose:




 

 
6. Your new cell phone plan has a monthly access fee of $28.72 with a flat rate of $0.31 per minute.  If you want to keep your monthly bill under $40, how many minutes per month can you talk on your new cell phone?