Proving A Union B: A Step-by-Step Guide

Thread starter Mdhiggenz
Start date Oct 4, 2013

In summary, proving A ∪ B means to prove that the union of two sets A and B contains all the elements that are in either set A or set B (or both). It is important because it helps us determine if two sets have any common elements and understand the relationship between them. To prove A ∪ B, you must show that all the elements in A and B are included in the union, and there are no additional elements in the union. The symbol for A ∪ B is a "U" with a line on top, representing the union of two sets. A and B can be empty sets when proving A ∪ B, resulting in an empty set as the union.

Oct 4, 2013

Mdhiggenz

Homework Statement

How would I prove that A\cup B?

Thank you

Higgenz

Homework Equations

The Attempt at a Solution

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Oct 4, 2013

haruspex

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Do you mean "A or B"? by proving at least one of them is true.

What does "Proving A ∪ B" mean?

Proving A ∪ B means to prove that the union of two sets A and B contains all the elements that are in either set A or set B (or both).

Why is proving A ∪ B important?

Proving A ∪ B is important because it allows us to determine if two sets have any common elements, and helps us understand the relationship between the two sets.