passpadi

2015

Mathematics

JAMB

Given that A = {1, 5, 7} B = {3, 9, 12, 15} C = {2, 4, 6, 8} Find (A ∪ B) ∪ C

A.

{1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}

B.

{1, 2, 3, 5, 6, 8, 12, 15}

C.

{2, 4, 5, 9, 12, 15}

D.

{1, 5, 6, 7, 8, 9, 12, 15}

Correct Answer: {1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}

Explanation

{A ∪ B ∪ C} {A ∪ B} = {1, 3, 5, 7, 9, 12, 15} ∪ C={2,4,6,8} {A ∪ B} ∪ C = {1, 3, 5, 7, 9, 12, 15} ∪ {2, 4, 6, 8} = {1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15} {A ∪ B} ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}

{A ∪ B ∪ C} {A ∪ B} = {1, 3, 5, 7, 9, 12, 15} ∪ C={2,4,6,8} {A ∪ B} ∪ C = {1, 3, 5, 7, 9, 12, 15} ∪ {2, 4, 6, 8} = {1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15} {A ∪ B} ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}
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