Union of two infinite bounded sets

[mdrak12]

I have two infinite bounded sets.
C(0<x<1) element of all real numbers
D(2<x<3) element of all real numbers

I need to find the union of the two sets.

I thought it was all the elements of the two sets combined| C union D was {0,1,2,3}, but that's wrong.

Any help would be great, thanks.

 

[pka]

I have two infinite bounded sets.
C(0<x<1) element of all real numbers D(2<x<3) element of all real numbers
I need to find the union of the two sets.

The set \(\displaystyle C=\{x|0<x<1\}\) the standard notation for that set is \(\displaystyle (0,1)\) called an open segment of real numbers.
The answer to your question is \(\displaystyle (0,1)\cup(2,3)\) that is as simple as we can make it.
If you do not understand, please post an exact question that may answer.

 

[Harry_the_cat]

mdrak12,
You are assuming that set contains only integers, what about all the numbers between 0 and 1 eg 0.34. They are in set C and so must be in the union of C and D.
Also, you are assuming that 0 and 1 are in set C (and 2 and 3 are in set D). This is incorrect because of the \(\displaystyle <\) signs. They are not \(\displaystyle \leq\) signs.