If Asubset ofB & Belement ofC then why is Anot an element ofC whereas all the elements of A are also in B. (Since Bsuperset ofA).

Asked by manali | 14th Apr, 2015, 08:17: PM

Expert Answer:

I f space A space i s space a space s u b s e t space o f space B space a n d space B space i s space a space s u b s e t space o f space C comma space t h e n space A space i s space a space s u b s e t space o f space C rightwards double arrow I f space A subset of B comma space a n d space B subset of C comma space t h e n comma space A subset of C I f space A space i s space a space s u b s e t space o f space B space a n d space B space i s space a space s u b s e t space o f space C comma space t h e n space a l l space e l e m e n t s space o f space A space b e l o n g s space t o space B space a n d space C rightwards double arrow I f space A subset of B space a n d space B subset of C comma space t h e n x element of C comma space f o r space a l l space x element of A S e t space c a n n o t space b e space a n space e l e m e n t space o f space a n o t h e r space s e t. space S e t space c a n space b e space a space s u b s e t space o f space a n o t h e r space s e t. I n space y o u r space q u e s t i o n comma space t h e space s t a t e m e n t s space B element of C space a n d space A not an element of C space a r e space i n c o r r e c t P l e a s e space c h e c k space y o u r space q u e s t i o n.

Answered by Vimala Ramamurthy | 15th Apr, 2015, 10:20: AM

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