Question

Writing union and intersection of intervals as a single interval

Answer 1

the answer is b [1,3) u(0,5)

Answer 2

We have that

`(-\infty,-2)\subset(-\infty,1)`

For this in a) we have that

`(-\infty,-2)\cap(-\infty,1)=(-\infty,-2)`

So the answer in a) is

`\begin{equation*} (-\infty,-2) \end{equation*}`

Now for b) we have that

`[1,3)\subset(0,5)`

and

`[1,3)\cup(0,5)=(0,5)`

So the answer in b) is:

`\begin{equation*} (0,5) \end{equation*}`