Perform the given set operation. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.set.)x is a multiple of 2 n x is a multiple of 5

Question

Perform the given set operation. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.set.)x n x is a multiple of 5

Answer 1

Given:

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Let

A = x

B = x is a multiple of 5

We will find A ∩ B

So, first, we will find the sets A and B:

`\begin{gathered} A=\mleft\lbrace2,4,6,8,10\mright\rbrace \\ B=\mleft\lbrace5,10\mright\rbrace \end{gathered}`

A ∩ B will be the numbers that are in both A and B

So, the answer will be:

`A\cap B=\mleft\lbrace10\mright\rbrace`