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  • Stuck here, help me understand: - Sets, Relations and Functions - JEE Main-6

If A,B,C are any three sets,then A-(B\cup C) id equal to?

  • Option 1)

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

  • Option 2)

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

  • Option 3)

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

  • Option 4)

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

 

Answers (1)

best_answer

As we learnt 

 

DIFFERENCE OF SETS -

 

The difference of the sets A and B in this order is the set of elements which belong to A but not to B.

- wherein

Symbolically, we write A – B and read as “A minus B”.

 

 According to De Morgan's laws

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

 


Option 1)

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

Option 2)

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

Option 3)

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

Option 4)

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

Posted by

Himanshu

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