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

$A\cap B$

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:

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