Question

Why is intersection of a set the same as multiplication of real numbers and why is union addition?

A) Intersection represents multiplication because it combines common elements.
B) Intersection represents division because it separates elements.
C) Union represents multiplication because it combines elements.
D) Union represents addition because it combines elements.

Answer 1

The intersection of a set is represented by multiplication because it combines common elements. The union of a set is represented by addition because it combines all the elements.

Step-by-step explanation:

The intersection of a set is represented by multiplication because it combines the common elements. When you multiply two real numbers, you are finding their common factor or common product. For example, the intersection of the sets {1, 2, 3} and {2, 3, 4} is {2, 3}, which can be represented as 2 * 3 = 6.

The union of a set is represented by addition because it combines all the elements from the sets. When you add two real numbers, you are combining all the quantities. For example, the union of the sets {1, 2, 3} and {2, 3, 4} is {1, 2, 3, 4}, which can be represented as 1 + 2 + 3 + 4 = 10.