Notice that:
[tex]C\subseteq B.[/tex]
Therefore:
[tex]\begin{gathered} B\cup C=B, \\ B\cap C=C. \end{gathered}[/tex]
Now, B and C in interval notation are:
[tex]\begin{gathered} B=\lbrack1,\infty), \\ C=(6,\infty). \end{gathered}[/tex]
Answer:
[tex]\begin{gathered} B\cup C=\lbrack1,\infty), \\ B\cap C=(6,\infty). \end{gathered}[/tex]
