Q

# 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)

$A_{2}$={$n:n\epsilon Z\: \: and \: \: n^{2}\leq 4$}  and$B_2=${${n:n^{2}-3n+2}=0$}

• 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}

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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)

$A_{2}$={$n:n\epsilon Z\: \: and \: \: n^{2}\leq 4$}  and$B_2=${${n:n^{2}-3n+2}=0$}

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}

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