8. Unions and Intersections of Sets
Sign In
{1,2,3,4,5,6,7,8,9,10}
X&={2,4,6,8,10} Y&={1,2,3,4,5,6,7,8,9,10} The union of two sets is the set that contains all elements found in both sets. Therefore, the union of X and Y holds all elements that are in both X and Y. Note that a union only contains unique values, so if any elements exist in both sets, we will cross out the duplicates. Y&={1,2,3,4,5,6,7,8,9,10} X&={2,4,6,8,10} X ⋃ Y &={1,2,3,4,5,6,7,8,9,10} We see that X⋃ Y is the same set as Y, because Y already contains all elements of X.