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Intersection of Sets

If A = 2, 3, ...

Question

If $A = {2, 3, 4, 8, 10},$ $B = {3, 4, 5, 10, 12},$ $C = {4, 5, 6, 12, 14},$ then $(A \cup B) \cap (A \cup C)$ is

A

{2, 3, 4, 5, 8, 10, 12}

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B

{2, 4, 8, 10, 12}

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C

{3, 8, 10, 12}

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D

{2, 8, 10,}

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Solution

The correct option is A ${2, 3, 4, 5, 8, 10, 12}$
$A \cup B = {2, 3, 4, 5, 8, 10, 12} A \cup C = {2, 3, 4, 5, 6, 8, 10, 12, 14} \Rightarrow (A \cup B) \cap (A \cup C) = {2, 3, 4, 5, 8, 10, 12}$

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Similar questions

A = {2, 3, 4, 8, 10}, B = (3, 4, 5, 10, 12}, C = {4, 5, 6, 12, 14}

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A = {2, 3, 4, 8, 10}, B = {3, 4, 5, 10, 12}

C = {4, 5, 6, 12, 14}

n (A \cup B) \cap (A \cup C)

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B = {3, 4, 5, 10, 12},

C = {4, 5, 6, 12, 14},

(A \cup B) \cap (A \cup C)

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B = {3, 4, 5, 10, 12}

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C = {4, 5, 6, 12, 14},

which of the elements are part of

A \cap (B \cup C)

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Intersection of Sets

Standard XIII Mathematics

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