Question

If you know how to properly solve the union and intersection of intervals, please help me.

Answer 1

I am going to write various equations, please give a moment as I do it

Lets notice that

$F\subset\text{ H}$

this because, if

$w\text{ }\leq\text{ 2 }\Rightarrow\text{ w }<\text{ 5}$

then,

$\begin{gathered} F\cup H\text{ = H = (-}\infty,\text{ 5)} \\ F\cap\text{ H = F = (-}\infty,2\rbrack \end{gathered}$

For the second question, now we consider that

$\begin{gathered} B=\text{ (-}\infty,4) \\ C=\text{ \lbrack{}6,}\infty) \\ \text{then } \\ B\cap C=\text{ }\varnothing \\ B\cup C\text{ = (-}\infty,\text{ 4) }\cup\text{ \lbrack{}6,}\infty) \end{gathered}$