Let A = {a, b, c, d, e} and B = {a, b, c, d, e, f, g, h}. Find A ∪ B.

Union of Sets 

The union of two sets X and Y is equal to the set of elements that are present in set X, in set Y, or in both the sets X and Y. This operation can be represented as;

X ∪ Y = {a: a ∈ X or a ∈ Y}

The union of two sets X and Y is equal to the set of elements that are present in set X, in set Y, or in both the sets X and Y. This operation can be represented as;

X ∪ Y = {a: a ∈ X or a ∈ Y}

A Union B Formula

The union of set A and set B is equal to the set containing all the elements in A and B. This is represented as A U B and can be read as “A union B” or “A or B”.

A union B formula is generally used to calculate the unions of set A and set B. The formula for A union B indicates that each element present in A or B (leaving duplicates) is present in A U B. From the definition of the union of sets, the formula for A union B formula can be written as:

A U B = {x : x ∈ A or x ∈ B}

Solution

Given A = {a, b, c, d, e} and B = {a, b, c, d, e, f, g, h}

A ∪ B represents the set of all elements which are present either in A or in B.

∴ A ∪ B = { a, b, c, d, e, f, g, h}

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