please answer Q10.......
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let A={1,2,3,4,5,6}...........................1
B={2,4,6}.....................................2
C={2,4,6,8}..................................3
AΠB={1,2,3,4,5,6}Π{2,4,6}
AΠB={2,4,6}......................................4
AΠC={1,2,3,4,5,6}Π{2,4,6,8}
AΠC={2,4,6}.......................................5
By eq4 and eq5 we get
AΠB=AΠC
But ,by eq2 and eq3 it is clear that,
B≠C
Hence,AΠB=AΠC need not imply B=C
In the case of B=C, the above statement i.e AΠB=AΠC still remains same.It only means that in the case AΠB=AΠC , B=C is not important.In the case AΠB=AΠC they may be equal or they may not be equal.But surely one of them will be subset of other i.e in sets of B and C.
B={2,4,6}.....................................2
C={2,4,6,8}..................................3
AΠB={1,2,3,4,5,6}Π{2,4,6}
AΠB={2,4,6}......................................4
AΠC={1,2,3,4,5,6}Π{2,4,6,8}
AΠC={2,4,6}.......................................5
By eq4 and eq5 we get
AΠB=AΠC
But ,by eq2 and eq3 it is clear that,
B≠C
Hence,AΠB=AΠC need not imply B=C
In the case of B=C, the above statement i.e AΠB=AΠC still remains same.It only means that in the case AΠB=AΠC , B=C is not important.In the case AΠB=AΠC they may be equal or they may not be equal.But surely one of them will be subset of other i.e in sets of B and C.
john44:
please can u tell can we choose any set randomly
yes
but while choosing sets we should be carefull about what we need to show
the given statement with given condition
oh thanks alot please can you answer my other question s please
how can i search for those questions
you can see in my profile in that my question s there u ill finf it
ok i will try if i can
ok thanks
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