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Question

Question: The smallest set A such that A ∪ {1, 2} = {1, 2, 3, 5, 9} is...

The smallest set A such that A ∪ {1, 2} = {1, 2, 3, 5, 9} is

A

{2, 3, 5}

B

{3, 5, 9}

C

{1, 2, 5, 9}

D

None of these

Answer

{3, 5, 9}

Explanation

Solution

Given A{1,2}={1,2,3,5,9}A \cup \{ 1,2 \} = \{ 1,2,3,5,9 \} . Hence, A={3,5,9}A = \{ 3,5,9 \}.