In proper paragraph form, explain the difference between the union and intersection of two sets.

The correct answer is:

The union of two sets is a combination of all elements from both sets.  The intersection of two sets, on the other hand, is a set of the elements common to both sets.

For instance, if we have the sets {1, 3, 5, 7, 9} and {3, 6, 9, 12, 15}, the union would be the combination of both:

{1, 3, 5, 6, 7, 9, 12, 15}

The intersection of the sets would be the common elements.  The only elements that are in both sets are 3 and 9.  This makes the intersection

{3, 9}

The union of two sets, A and B, is a set whose elements are those that appear in either Set A or Set B without repetition. Without repetition means that elements in both A and B need to be listed only once in the union. The union combines every element from Set A and Set B. The symbol for union is. The intersection of two sets, A and B, is a set whose elements are those that are common to A and B. This means the set includes only the elements that are found in both Set A and Set B. The symbol for intersection is.

Example of Union: If A = {. . ., -3, -2, -1} and B = {0, 1, 2, 3, . . .}, then A  B = {. . ., -3, -2, -1, 0, 1, 2, 3, . . .}, or the Integers.

Example of  intersection: If A = {1, 2, 3} and B = {2, 3, 4}, then A  B = {2, 3}, the elements in both set A and set B.

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