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  • Answer please! Which of the following is the associative property of intersection?

Which of the following is the associative property of intersection?

  • Option 1)

    \left ( A\cup B \right )\cup C= A\cup \left ( B\cup C \right )

  • Option 2)

    \left ( A\cap B \right )\cup C= A\cup \left ( B\cap C \right )

  • Option 3)

    A\cap \left ( B\cup C \right )= \left ( A\cap B \right )\cup C

  • Option 4)

    \left (A\cap B \right )\cap C= A\cap \left ( B\cap C \right )

 

Answers (1)

best_answer

As we learnt

 

ASSOCIATIVE PROPERTY OF INTERSECTION -

 

(A ∩ B) ∩ C = A ∩ (B ∩ C)

-

 

 

 


Option 1)

\left ( A\cup B \right )\cup C= A\cup \left ( B\cup C \right )

Option 2)

\left ( A\cap B \right )\cup C= A\cup \left ( B\cap C \right )

Option 3)

A\cap \left ( B\cup C \right )= \left ( A\cap B \right )\cup C

Option 4)

\left (A\cap B \right )\cap C= A\cap \left ( B\cap C \right )

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Himanshu

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