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Algebra

Hot goIITian

 Joined: 11 Mar 2012 Post: 124
5 Apr 2012 09:47:08 IST
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Sets
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Algebra

A,B,C are 3 sets.If A belongs to B, and B is Subset of C, Is A subset of C?????? Why/Why not?

Hot goIITian

Joined: 4 Apr 2012
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5 Apr 2012 10:36:34 IST
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Because if A belongs to B means it is going to take values from set B only.

Also B is a subset of C means all values from B are present in C.

So invariably A is going to take values from C which are present in set B....

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5 Apr 2012 10:37:00 IST
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Hit like if you find it useful and right.

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Joined: 21 Mar 2012
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5 Apr 2012 10:37:56 IST
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A belongs to B means for every element of A there is corresponding same element in B so A is subset of B and B is subset of C then by mapping we can easily conclude that yes A is subset of C

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Joined: 11 Mar 2012
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5 Apr 2012 10:45:44 IST
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You are right....but in NCERT , its written A is not a subset of C

Hot goIITian

Joined: 11 Mar 2012
Posts: 124
5 Apr 2012 10:46:08 IST
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You are right....but in NCERT , its written A is not a subset of C

Hot goIITian

Joined: 4 Apr 2012
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5 Apr 2012 10:47:57 IST
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I think it should be.

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Joined: 4 Apr 2012
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5 Apr 2012 10:48:12 IST
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What do you think?

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Joined: 11 Mar 2012
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5 Apr 2012 10:52:11 IST
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I think NCERT is Wrong....

A belongs to B, B subset  of C, thus a will definately be Subset of A

EG- Let A ={1}, B ={1,2} and C={1,2,3}

Hence A is Subset if C

Hit like if u find it useful and right

Hot goIITian

Joined: 4 Apr 2012
Posts: 121
5 Apr 2012 10:53:58 IST
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Yeah you are right Rajat1196..I'm shocked that NCERT book can make mistakes

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