Answer :

U = {a, b, c, d, e, f, g, h}

A = {a, b, c, d}

B = {b, d, f, g}

i. A ∪ B = {a, b, c, d, f, g} [elements that are present in either A or B]

ii. U = {a, b, c, d, e, f, g, h}

A ∪ B = {a, b, c, d, f, g}

∴ (A ∪ B)’ = {e, h} [elements that are present in U but not in A ∪ B]

iii. A ∩ B = {b, d} [elements that are present in both A and B]

iv. U = {a, b, c, d, e, f, g, h}

A ∩ B = {b, d}

∴ (A ∩ B)’ = {a, c, e, f, g, h} [elements that are present in U but not in A ∩ B]

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