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Which of the following are equal sets?

  • Option 1)

    A={1,2,3,4} and B={natural numbers less than 6}

  • Option 2)

    A={prime numbers less than 6} and B={prime factors of 30}

  • Option 3)

    A={0} and B={x:x>15 and x<5}

  • Option 4)

    A={5} and B={x:x^{2}= 25}

 

Answers (1)

best_answer

As we learnt 

 

EQUAL SETS -

 

Two sets A and B are said to be equal iff they have exactly the same elements and we write A = B. Otherwise, the sets are said to be unequal and we write A ≠ B.

- wherein

eg. A= {3,2,1,4} and B= {2,3,4,1}

 

 Prime factors of 30 are 2,3,5 which are all prime numbers less than 6.

While in (4) x^{2}= 25 \: \: gives\: \: x= \pm 5 which is not same as x=5.

 


Option 1)

A={1,2,3,4} and B={natural numbers less than 6}

Option 2)

A={prime numbers less than 6} and B={prime factors of 30}

Option 3)

A={0} and B={x:x>15 and x<5}

Option 4)

A={5} and B={x:x^{2}= 25}

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Himanshu

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