Question
Tue April 14, 2015 By: Manali

If AIf AB & BC then why is AC whereas all the elements of A are a, Question no 89597, MathematicsA).

Expert Reply
Vimala Ramamurthy
Wed April 15, 2015
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.
Home Work Help