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inequalities ..

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Source: — Problem Solving |

by cans » Thu Jun 09, 2011 8:55 am
y>=0
x??
a) |x-3| >=y
|x-3|>=0
y=1;X=-6 equation holds.
y=1;X=-3; equation holds
insufficient
b) |x-3|<=-y
y>=0; -y<=0
also |x-3|>=0 (modulus property)
thus |x-3|=0 => x=3
Sufficient
IMO B
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