Union of two or more sets is the set containing all the elements of the given sets. Union of sets can be written using the symbol “⋃”. Suppose the union of two sets X and Y can be represented as X ⋃ Y.
A set A is a subset of another set B if all elements of the set A are elements of the set B. In other words, the set A is contained inside the set B. The subset relationship is denoted as A⊂B.
PROPOSITION Every set is the union of its subsets. Equivalently, the union of all elements of the power set of a set is the set itself.
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Explain why A union B in subset of A?
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Union of two or more sets is the set containing all the elements of the given sets. Union of sets can be written using the symbol “⋃”. Suppose the union of two sets X and Y can be represented as X ⋃ Y.
A set A is a subset of another set B if all elements of the set A are elements of the set B. In other words, the set A is contained inside the set B. The subset relationship is denoted as A⊂B.
PROPOSITION Every set is the union of its subsets. Equivalently, the union of all elements of the power set of a set is the set itself.