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Question:

If U = {a, b, c, d, e, f, g, h}, find the complements of the following sets: (i) A = {a, b, c} (ii) B = {d, e, f, g} (iii) C = {a, c, e, g} (iv) D = {f, g, h, a}

Solution:

We know that the complement of set A is A' = U - A
Given U = {a, b, c, d, e, f, g, h}
(i) A = {a, b, c}
A' = {d, e, f, g, h}
(ii) B = {d, e, f, g}
∴ B' = {a, b, c, h}
(iii) C = {a, c, e, g}
∴ C' = {b, d, f, h}
(iv) D = {f, g, h, a}
∴ D' = {b, c, d, e}