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CBSE Class 12-science Answered

2.        With reference to a universal set, the inclusion of a subset in another, is a relation which is

(a) symmetric only                                                                                (b) equivalence                          

(c)  reflexive only                                                                                  (d) none of these

Asked by Dharvi Kumra | 26 Apr, 2015, 07:18: PM
answered-by-expert Expert Answer
L e t space t h e space u n i v e r s a l space s e t space b e U equals open curly brackets a comma b comma c comma d comma.. z close curly brackets N o w space c o n s i d e r space t h e space r e l a t i o n space " I n c l u s i o n space o f space a space s u b s e t " left parenthesis i right parenthesis E v e r y space s e t space i s space a space s u b s e t space o f space i t s e l f. T h u s comma space t h e space s e t space open curly brackets a close curly brackets subset of open curly brackets a close curly brackets H e n c e comma space r e f l e x i t i v i t y space i s space s a t i s f i e d. left parenthesis i i right parenthesis N o w space c o n s i d e r space t h e space s e t s comma space open curly brackets a close curly brackets space a n d space open curly brackets a comma b close curly brackets H e r e comma space open curly brackets a close curly brackets subset of space open curly brackets a comma b close curly brackets b u t space open curly brackets a comma b close curly brackets ⊄ space open curly brackets a close curly brackets T h e r e f o r e comma space i t space i s space n o t space s y m m e t r i c. H e n c e space t h e space r e l a t i o n space " I n c l u s i o n space o f space a space s u b s e t " space i s space n o t space a n space e q u i v a l e n c e space r e l a t i o n.
Answered by Vimala Ramamurthy | 27 Apr, 2015, 11:47: AM

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CBSE 12-science - Maths
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