Practice with
Set-builder Notation
and Interval Notation

Topic Index | Algebra Index | Regents Exam Prep Center

 

Choose the best answer for each question:

1.

This number line graph would be best described by which statement:

   
 

Choose:

-7 < x < -1  or  3 < x < 7

both answers are correct

 

 

2.

"All numbers from negative infinity up to and including negative four as well as all numbers greater than positive one."
     Which statement below best represents this situation: 

Choose:

 x < -4  or   x > 1

 

 

3.

"All numbers from negative three up to and including
positive seven."
     Which statement below best represents this situation: 

 

Choose:

 -3 <  x < 7

 

 

4.

Which statement below is the correct set-builder notation for the situation depicted in this number line graph?

   
 

Choose:



 

 

5.

Which statement below represents

Choose:

 x < 9   or   x > 9


all of the above
none of the above

 

 

6.


How do you read the sentence,   ?

 

Choose:

"a number between 3 and 5"
"a number between 3 and 5, inclusive"
"the numbers 3, 4, and 5"

 

 

7.

What is the difference between the number line graphs of these two intervals:  (2,8] and [2,8]  ?

Choose:

The first graph has an open/unshaded circle at 2 while the second graph has a closed/shaded circle at 2.
The first graph has a closed/shaded circle at 2 while the second graph has an open/unshaded circle at 2.
There is no difference between the graphs.

 

 

8.

Which statement below is the correct interval notation for the situation depicted in this number line graph?

   
 

Choose:



 

 

9.


Write the following statement as an inequality: 

 

Choose:

 x < -3   or   0 < x < 2    or    x > 4
 x < -3   or   0 < x < 2    or    x > 4
 
x < -3   or   0 < x < 2    or    x > 4

 

 

10.


 Write the following inequality as interval notation:
                       -2 < x < 1  or  x > 1

Choose:

  

 

 

 

11.

Which interval notation represents the set of all numbers from 2 through 7 inclusive?

Choose: