Question

Let U be a Universal set with subsets A and B.U={1,2,3,4,5,6,7,8,9,10}A={1,3,5,7,9}B={1,2,3,9,10}Find A∩B. Use set roster notation. If there is more than one element in the set, list in ascending order, separated by a comma.

Answer 1

Given:

`\begin{gathered} U=\left\{1,2,3,4,5,6,7,8,9,10\right\} \\ A=\left\{1,3,5,7,9\right\} \\ B=\left\{1,2,3,9,10\right\} \end{gathered}`

To find:

`A\cap B`

Step-by-step explanation:

We know that,

The intersection of two sets A and B is the set of all common elements in sets A and B.

Therefore, we write it in the roaster form,

`\begin{gathered} A\cap B=\left\{1,3,5,7,9\right\}\cap\left\{1,2,3,9,10\right\} \\ A\cap B=\lbrace1,3,9\rbrace \end{gathered}`

Final answer:

The roster notation is,

`A\cap B=\lbrace1,3,9\rbrace`