b<a<1
Quantity A |
Quantity B |
a3b6 |
b6 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Let's
test some possible values of a and b
Great explanation. But what if you take an algebraic approach to this and divide both quantities by b^6
We will be left with a^3 and 1. And since a<1
a^3 will be less than 1
I'd be really grateful if you could clear my confusion out
case i: One possible pair of values is
a=0.5 and
b=0We get:
Quantity A:
a3b6=(0.53)(06)=0Quantity B:
b6=06=0In this case,
the two quantities are equalcase ii: Another possible pair of values is
a=0 and
b=−1We get:
Quantity A:
a3b6=(03)(−1)6=0Quantity B:
b6=(−1)6=1In this case,
Quantity B is greaterAnswer: D