Question

Find the intersection, A B, for the following pair of sets. Enter DNE for the empty set. A= [1, oo) , B= (3, oo)

Answer 1

Given:

`\begin{gathered} A=[1,\infty) \\ B=(3,\infty) \end{gathered}`

Required:

To find

`A\cap B`

Step-by-step explanation:

Consider

`\begin{gathered} A=[1,\infty) \\ B=(3,\infty) \end{gathered}`

Now

`\begin{gathered} A\cap B=[1,\infty)\cap(3,\infty) \\ =(3,\infty) \end{gathered}`

Final Answer:

`A\cap B=(3,\infty)`