Hello, I am currently studying for my analysis midterm, and I can't seem to figure out how to solve the following:
Let S,T ⊂Rn. Show that (SUT)' = S'UT'.
Where S' and T' represent derived sets.
Any help with this problem would be greatly appreciated!
You have posted this question twice. That is strictly against forum rules.
But I will respond this way. There is only one way that the implication is problematic.
That is to prove that .
If is limit point of and is limit point of then we are done.
But if and is not limit point of you must prove that must a limit point of .