Two sets are said to be equal if they have the same elements.
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equality of opportunity and equality before the law
The equality of outcome is the standard of equality that is most concerned with the distribution of resources. Equality of outcome is used regularly in politics.
Closed sets and open sets, or finite and infinite sets.
An equality and equation are essentially the same thing. The equality between two expressions is represented by an equation (and conversely).
Joint sets are sets with common element/s. Disjoint sets are sets without any common element/s.