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  • How to solve this problem- Which of the following are equal sets?

Which of the following are equal sets?

  • Option 1)

    A_{1} is a set of letters of ALLOY and B_{1} is a set of letters of LOYAL.

  • Option 2)

    A_{2}={n:n\epsilon Z\: \: and \: \: n^{2}\leq 4}  andB_2={{n:n^{2}-3n+2}=0}

  • Option 3)

    A_3={x:x^{2}= 9}  and B_3={3}

  • Option 4)

    A_4={x:x is a vowel}  and B_4={a,e,i,u}

 

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}

 

 Clearly A_1 and B_1 are equal sets since they have exact same elements.

 


Option 1)

A_{1} is a set of letters of ALLOY and B_{1} is a set of letters of LOYAL.

Option 2)

A_{2}={n:n\epsilon Z\: \: and \: \: n^{2}\leq 4}  andB_2={{n:n^{2}-3n+2}=0}

Option 3)

A_3={x:x^{2}= 9}  and B_3={3}

Option 4)

A_4={x:x is a vowel}  and B_4={a,e,i,u}

Posted by

Himanshu

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