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

Solution:

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

(i) 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}

(ii) A ∩ B represents the set of all elements which are present both in A and B.

∴ A ∩ B = { a, b, c, d, e}

(iii) A - B represents the set of all elements which are only in A and not in B.

∴ A - B = { } or ɸ

(iv) B - A represents the set of all elements which are only in A and not in B.

∴ B - A = { f, g, h }

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

Summary:

Given A = {a, b, c, d, e} and B = {a, b, c, d, e, f, g, h}, A ∪ B = { a, b, c, d, e, f, g, h}, A ∩ B = { a, b, c, d, e}, A − B = { } or ɸ and B − A = { f, g, h }.

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