Write in Interval Notation
a) the open interval with endpoints 2 and 3
b) the closed interval with endpoints 2 and 3
c) the half-open interval with endpoints 2 and 3 that contains 2 but not 3

2) Represent the following sets of numbers in two ways: interval notation and as subset of the number line
a) 1

Question

Write in Interval Notation 
a) the open interval with endpoints 2 and 3
b) the closed interval with endpoints 2 and 3
c) the half-open interval with endpoints 2 and 3 that contains 2 but not 3 

2) Represent the following sets of numbers in two ways: interval notation and as subset of the number line 
a) 1 < ( with underlined) x < (no underline) 15
b) -2 < (both arrows with underline) x < 2
c) -5 (no underline) < x (with underline) < -3

anonymous · Answer

I have already finished the questions on my own and I would like to make sure that they are correct.

mathmate · Answer

You're welcome to post your answers for a check.
As a check-up, you would use [ or ] for closed, and ( or ) for open intervals.  Some schools use ] and [ (i.e. pointing outwards) to represent open intervals.
Also, $\le$ means less than or equal to, while $\ge$ means greater than or equal to.
For example, the interval $5\le x\lt 7$ would be written as [5,7).