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K! Seriously I need some enlightenment as I am totally lost here.
When I see a absolute variable I create 2 equations and we are given that R is integer and | R | = R
I read it as Can you find integer(s) such that R = R and -R = R
For all integers positive and negative I can say R is not equal to -R except for 0
0 is the integer that satisfies both R = R and -R = R
0 is neither +ve nor -ve. Going back to the Q Is R positive? NO
I felt that its sufficient and chose B.
Can some one explain where I am going wrong?
|R|=R
one solution for this is R=0 other solutions when R>0 R=R So R is +ve when R<0 R=-R --> invalid so R can't be -ve
So all together two solutions R=0 or R is +ve
Is R Positive? No when R=0 Is R Positive? Yes when R is +ve
insuffcient.
Now I see what I am doing differently. When I look at |R| = R and consider the two equations I am considering that both the cases of R = R and R = -R needs to be satisfied. What needs to be checked is whether I arrive at same answer in all three cases.
Seemed really easy to lead to B. I made the silly mistake and did not consider 0 for the statement (ii). Realized my mistake and learnt from it. _________________
My attempt to capture my B-School Journey in a Blog : tranquilnomadgmat.blogspot.com