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Which of the following sets is an empty set?

  • Option 1)

    A={x:x is an even prime number}

  • Option 2)

    B={x:x is an even number divisible by 3}

  • Option 3)

    C={x:x is an odd number divisible by 6}

  • Option 4)

    D={x:x is an odd prime number}

 

Answers (1)

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As we learnt 

 

EMPTY SET -

 

A set which does not contain any element is called the empty set or the null set or the void set.

- wherein

eg. {1<x<2, x is a natural number}

 

 There are no odd numbers divisible by 6, since they are not divisible by 2.

 


Option 1)

A={x:x is an even prime number}

Option 2)

B={x:x is an even number divisible by 3}

Option 3)

C={x:x is an odd number divisible by 6}

Option 4)

D={x:x is an odd prime number}

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Himanshu

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