Is A equal to B if A and B have the same union and intersection?

Thread starter zendani
Start date Mar 2, 2012

In summary, equality of A & B refers to the equal treatment and value of two things, A and B. It can be measured through various factors such as financial, social, and legal equality. This concept is important as it promotes fairness and inclusivity in society. However, there are challenges such as discrimination and societal biases that hinder achieving equality of A & B. To promote this equality, efforts such as education, policy changes, and equal opportunities for all individuals are necessary.

Mar 2, 2012

zendani

If A U B = A and A n B = A
can we say A = B ?

1: A U B = A => B C A => B n A = B
2: A n B = A => A C B => A U B = B

1,2 => A=B

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Mar 2, 2012

micromass

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Yes, that is correct.

Mar 2, 2012

zendani

Thanks Micromass

1. What is the definition of "Equality of A & B"?

The equality of A & B refers to the concept that two things, A and B, are considered to be equal in terms of value, status, or treatment.

2. How is equality of A & B measured?

Equality of A & B can be measured in a variety of ways, depending on the specific context. Some common measures include financial equality, social equality, and legal equality.

3. Why is equality of A & B important?

Equality of A & B is important because it promotes fairness and justice for all individuals, regardless of their differences. It helps to create a more inclusive and harmonious society.

4. What are some challenges to achieving equality of A & B?

Some challenges to achieving equality of A & B include systemic discrimination, unequal access to resources, and ingrained societal biases. These challenges require ongoing efforts and interventions to address and overcome.

5. How can we promote equality of A & B?

We can promote equality of A & B by actively working towards breaking down barriers and promoting inclusivity and diversity. This can be done through education, policy changes, and promoting equal opportunities for all individuals.