Let

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

{x | x is a multiple of 2} ∪ {x is a multiple of 5}

{2,4,6,8,10} U {5,10}

That help?

yes thank you Steve

To find the set that contains numbers that are multiples of 2 or multiples of 5, we need to find the union of the sets.

The set of numbers that are multiples of 2 can be represented as: {2, 4, 6, 8, 10}.
The set of numbers that are multiples of 5 can be represented as: {5, 10}.

To find the union, we combine the elements of both sets, keeping only unique elements. Therefore, the union of the two sets is: {2, 4, 5, 6, 8, 10}.

So, the set {x | x is a multiple of 2} ∪ {x is a multiple of 5} is {2, 4, 5, 6, 8, 10}.