If A and B are any two sets, then A ∪ (A ∩ B) is equal to

$B^{C}$

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Solution

The correct option is B
A

A $\cup$ (A $\cap$ B) = (A $\cup$ A) $\cap$ (A $\cup$ B) [By distributive law]

$\Rightarrow$ A $\cup$ (A $\cap$ B) = A $\cap$ (A $\cup$ B) [ $∵$ (A $\cup$ A) = A ]

$\Rightarrow$ A $\cup$ (A $\cap$ B) = A

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