Given:
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
Let
A = {x|x is a multiple of 2}
B = {x|x is a multiple of 5}
We will find A ∩ B
So, first, we will find the sets A and B:
[tex]\begin{gathered} A=\mleft\lbrace2,4,6,8,10\mright\rbrace \\ B=\mleft\lbrace5,10\mright\rbrace \end{gathered}[/tex]A ∩ B will be the numbers that are in both A and B
So, the answer will be:
[tex]A\cap B=\mleft\lbrace10\mright\rbrace[/tex]