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

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


Question

Given that A = {1, 5, 7}

B = {3, 9, 12, 15}

C = {2, 4, 6, 8}

Find (A ∪ B) ∪ C

Options

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}

The correct answer is A.

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}

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Dicussion (1)

  • {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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