In the following problems the universe is R. Determine the following.
a)[0,3] ∪ [2,6]
b)[0,3] - [2,6]
c)[0,3] ⊕ [2,6]
So I just need someone to confirm if I am correct or not in my solution.. I have
a) {0,2,3,6}
b) {0,3}
but I am not sure what to do for c). According to the book $\oplus$ means symmetric difference.
Thanks for your time
It looks like you're misunderstanding the notation in the problem. Your answers to (a) and (b) would be entirely correct if the problem said $\{0,3\}$ and $\{2,6\}$, but what is actually there is $[0,3]$ and $[2,6]$ -- which is notation for intervals of the real line.
$[0,3]$ is by definition a shorthand notation for the set $\{x\mid 0\le x\le 3\}$ of all numbers that are between $0$ and $3$, including these endpoints.
Similarly $[2,6]$ is the set of numbers between (and including) $2$ and $6$.
With this knowledge I think you should be able to find correct answers yourself.