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Which of the following are not equivalent sets?

  • Option 1)

    P:{A,B,C,D,E} and Q:{Jan,Feb,Mar,April,May}

  • Option 2)

    P:{x:x is a prime number on dice}

    Q:{x:x is an even number on dice}

  • Option 3)

    P:{x:x\epsilonR and x^{2}-5x+6=0}

    Q:{x:x\epsilonR and x^{2}-4x+5=0}

  • Option 4)

    A:{x:x is a vowel}

    B:{x:x is a natural number less than 6}

 

Answers (1)

best_answer

As we learnt

 

Equivalence Sets -

 

Two sets having same number of elements.

- wherein

eg. A= {H,T,P,V} and B= {1,2,3,4}

 

 

 

P has 2 elements as there are 2 roots of x^{2}-5x+6=0 but x^{2}+4x+5=0 has no real roots


Option 1)

P:{A,B,C,D,E} and Q:{Jan,Feb,Mar,April,May}

Option 2)

P:{x:x is a prime number on dice}

Q:{x:x is an even number on dice}

Option 3)

P:{x:x\epsilonR and x^{2}-5x+6=0}

Q:{x:x\epsilonR and x^{2}-4x+5=0}

Option 4)

A:{x:x is a vowel}

B:{x:x is a natural number less than 6}

Posted by

Himanshu

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