this is getting complicated. if we do by wht u say then according to st 1 K has only -2,2. eugh to answer the question Is 12 in K - simple No.
same wth st 2.
K is a set of numbers such that if x is in K, then -x is in K, and if each of x and y is in K, then xy is in K.
I guess we are reading too much into the variable representation above.
the question could very well say, if x is in K then -x is in K. for each of 'a' and 'b' in K, ab will also be in K.
guess this is sme as the original question. a and b can be any values which are in set K. by st 1 a can be 2,-2.
a and b here do not point to only a single value.they inturn represent each values in the set.
Set K in question has got to be an ifinite sequence wth numbers adding up as we go along.
like 2,-2 in set K then -4 would be in set k, 8,-8...so on.
love to get ur thoughts on this. different perspectives on a single question. helps improve ur thought process
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Night reader wrote:@ankur, this DS has certain conditions. If x is in K then x and -x are in K. We are given one number in statement (1) 2 and one number in statement (2) 3. Either of these numbers are x OR y. We cannot say 2=x=y when we do not know about the existence of the second variable (x OR y). Each condition implies only one number - so one variable x OR y!
now set K according to statement (1) has only x and -x {-2; 2}
according to statement (2) set K has only y or -y {-3; 3}
you cannot say xy in statement 1 and 2, because we have only one value for either x OR y.
if you combine both you get x*y {-6;-3;-2;2;3;6} there's no 12 ans answer No st(1&2) Sufficient
please read the previous posts, it's not the matter of personal like or dislike - just knowledge man