Let A ={ 0,1}B={0,2,3} and C= { 0, 4,5 } Accordingly `, A cap B = { 0} and A cap C= {0} ` Here `A cap B = A cap C ={0)` Howerver , `B ne C ( 2 in B and 2 notin C )`
Topper's Solved these Questions
SET THEORY AND REAL NUMBER SYSTEM
CENGAGE|Exercise Exercise 1.1|12 Videos
SET THEORY AND REAL NUMBER SYSTEM
CENGAGE|Exercise Exercise 1.2|8 Videos
SEQUENCE AND SERIES
CENGAGE|Exercise Question Bank|1 Videos
SETS AND RELATIONS
CENGAGE|Exercise Question Bank|3 Videos
Similar Questions
Explore conceptually related problems
Show that A cap B=A cap C need not imply B=C.
Show that A ∪ B = A ∩ B implies A = B
Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C . Show that B = C .
Show that if A ⊂ B , then C – B ⊂ C – A .
Show that suma sin(B-C) =0
Show by a numerical example and geometrically also that vec axx vec b= vec axx vec c does not imply vec b= vec c .
Show that if f:A to B and g: B to C are onto, then gof :A to C is also onto.
Show that if f: A to B and g : B to C are one-one, then gof :A to C is also one-one.
CENGAGE-SET THEORY AND REAL NUMBER SYSTEM -Archieves