What is I ∪ J and I ∩ J between J = [1 ; 3[ and {x ∈R| 2 < x ≤ 4}?

Question

What is I ∪ J and I ∩ J between J = [1 ; 3[ and {x ∈R| 2 < x ≤ 4}?

Answer 1

ok so for J we have  1 ≤x  &lt; 3

and for I we have 2 &lt; x ≤ 4 ( I guess the second one is meant to be I )

∪ will be all the numbers except the recurring ones:  

   1 ≤ x  ÃƒÂ¢Ã‚‰Â¤ 4

and for ∩ we have the numbers that these two share:

2&lt;  x  &lt; 3

Answer 2

When you post a question and you use copy and paste, you better look at that question and determine if it makes any sense.  Look at this nearly unreadable bull(manure).  It it your question??  I bet not.  

We will assume your real question is

What is I U J and I ∩ J when I ={x:xεR and 2&lt;x ≤ 4} and

J = [1,3)  

I is in set builder notation and is equivelent to (2,4] in interval notation

J is already expressed using interval notation

I U J would be [1,4] using the interval notation and

I ∩J  is the interval (2,3) using the interval notation.