That's correct. The complement is everything in R that is not in A or not in B. The complement of an open set is closed and vice versa.
Ok...the universe in this problem is all real #'s. Let A be the closed interval [0,2] and let B be the closed interval [-1,1].
Find: A \ B ; B \ A ; complement of A (for lack of symbols); B^c (complement of B and etc etc...
Yes I posted a portion of this problem earlier and I got the 1st two (I hope)... I got..
A \ B = (1,2]
B \ A = [-1,0)
....Are these right? And how do I represent their complement?
Yes...I have that in my notes...but how do I represent that in symbolic notation?...or is there any?
And I'm not sure what you mean when you say the complement of an open set is closed and vice versa....So the complement of A is neg. infinity (for lack of ability to produce symbol) to zero and two to pos. infinity?
Let's say for fun that 8==infinity...then what I said in words would be...
A^c (complementof A) = (-8,0) ^ (2,8)?
...Yuk!!!...is this right??