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khoo
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Prove that {A UNION(B INTERSECT C')} UNION (A UNION C)=A
The purpose of proving sets is to demonstrate the validity and correctness of mathematical statements or theories. It involves providing logical and rigorous evidence to support a claim or hypothesis.
To prove that two sets are equal, you must show that they have the same elements. This can be done by using the definition of set equality, which states that two sets are equal if and only if they contain the same elements.
Some common methods used to prove sets include direct proof, proof by contradiction, and proof by mathematical induction. These methods involve using logical reasoning and mathematical principles to establish the truth of a statement.
Yes, sets can be proven without using mathematical notation. However, mathematical notation is often used because it provides a concise and precise way to express mathematical ideas and relationships.
In science, proving sets is important because it allows us to verify the accuracy and reliability of theories and models. It also helps to establish a solid foundation for further research and development in various scientific fields.