Which of the following pair of sets are equal sets?
$R = \{S e t o f a l l g i r l' s n a m e s b e g i n n i n g w i t h l e t t e r J\}$
$S = \{J o a n, J e a n, J u d y, J u l i e\}$

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Solution

Two sets are said to be equal, if they contains exactly same element.
Given pair of set:
$R = \{S e t o f a l l g i r l' s n a m e s b e g i n n i n g w i t h l e t t e r J\}$ and $S = \{J o a n, J e a n, J u d y, J u l i e\}$
As we know there can be many girls whose name start with letter $' J'$ like $\{J e n n y, J a n e t, J e n i c e, . . . . . .\}$
Both given sets $R = \{J e n n y, J a n e t, J e n i c e, . . . . . .\}$ and $S = \{J o a n, J e a n, J u d y, J u l i e\}$ may contain different elements.
Hence, the given pair of sets $R = \{S e t o f a l l g i r l' s n a m e s b e g i n n i n g w i t h l e t t e r J\}$ and $S = \{J o a n, J e a n, J u d y, J u l i e\}$ are not equal sets.

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Which of the following pair of sets are equal sets?R=Setofallgirl'snamesbeginningwithletterJS=Joan,Jean,Judy,Julie

Which of the following pair of sets are equal sets?
$R = \{S e t o f a l l g i r l' s n a m e s b e g i n n i n g w i t h l e t t e r J\}$
$S = \{J o a n, J e a n, J u d y, J u l i e\}$