Carcass wrote:
\(|a| > |d|\)
\(|a| * b^3 * c^2 * |d| * e^5 * f^6 * g < 0\)
Quantity A |
Quantity B |
\(g( |a| * b * e)\) |
\(g(b * e * |d|\)) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Ok..
Too many variables.. What do we do? - we try to remove as many variables as possible..
\(|a| * b^3 * c^2 * |d| * e^5 * f^6 * g < 0\)
Of course we cannot find the values of variables but it can tell us what all lead to a NEGATIVE value..
so discard the positive terms as they do not affect the equation..
\(|a| * b^3 * c^2 * |d| * e^5 * f^6 * g < 0...........b^3*e^5*g<0\)
Now whatever be the values of b, g and e, \(b*g*e<0\)
With this information let us see if we can compare A and B.
\(g( |a| * b * e)\))(\(g(b * e * |d|\))
Now both have three terms same, so we compare |a| and |d| and we know |a|>|d|, so the numeric value ||a|*b*g*e|>||d|*b*g*e|
BUT since b*g*e<0 both A and B are NEGATIVE..
We know larger the negative value, the smaller it is.
so |A|>|B| hence A<B..
B