#2**+5 **

I don't know much about this, but the way I understand it is that the infimum of a set of numbers is the largest number that is less than or equal to all the numbers in the set.

The supremum of a set of numbers is the smallest number that is greater than or equal to all the numbers in the set.

Also, as I understand it, the infimum of a set doesn't actually have to belong to the set itself. Based on this, -2 should be your answer, because it's the largest number that is less than or equal to all the members of (-2, 3]. Notice that it doesn't belong to the set itself.

If someone on the forum knows more about this, I'll stand corrected......

CPhill
May 26, 2014

#1**0 **

I am not sure what your question is. However:

The round bracket means the -2 is not actually included and the square bracket means that it is included.

Like

$$-2

Melody
May 25, 2014

#2**+5 **

Best Answer

I don't know much about this, but the way I understand it is that the infimum of a set of numbers is the largest number that is less than or equal to all the numbers in the set.

The supremum of a set of numbers is the smallest number that is greater than or equal to all the numbers in the set.

Also, as I understand it, the infimum of a set doesn't actually have to belong to the set itself. Based on this, -2 should be your answer, because it's the largest number that is less than or equal to all the members of (-2, 3]. Notice that it doesn't belong to the set itself.

If someone on the forum knows more about this, I'll stand corrected......

CPhill
May 26, 2014