Question

Cand D are sets of real numbers defined as follows.C={y | y2)D=y Write C n D and CU D using interval notation.If the set is empty, write Ø.

Answer 1

Given C and D are sets of real numbers:

`\begin{gathered} C=\mleft\lbrace y\mright|y\ge1\} \\ D=\mleft\lbrace y\mright|y<8\} \end{gathered}`

So, the intervals of C and D will be as follows:

`\begin{gathered} C\colon\lbrack1,\infty) \\ D\colon(-\infty,8) \end{gathered}`

We will find the following:

`\begin{gathered} C\cap D=\lbrack1,8) \\ C\cup D=(-\infty,\infty) \end{gathered}`