If `A={x : x=2n+1,\ n in Z}\ a n d\ B={x : x=2n ,\ n in Z}` , then `AuuB={x : x\ ` is an odd integer`}\ uu{x : x` is an even integer`}={x : x` is an integer`}=Zdot`

Explanation

As `A={x : x=2n+1,\ n in Z}\ a n d\ B={x : x=2n ,\ n in Z}`

`\Rightarrow` A is odd integer and B is even integer as we know that every odd number is of form 2n+1 and every even number is of form 2n.

Hence `AuuB={x : x\ `
is an odd integer`}\ uu{x : x`
is an even integer`}={x : x`
is an integer`}`.