Carcass wrote:
c and d are positive
\(\frac{1}{c} = 1 + \frac{1}{d}\)
Quantity A |
Quantity B |
c |
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.
Given: 1/c = 1 + 1/d
Rewrite 1 as d/d to get: 1/c = d/d + 1/d
Combine fractions to get: 1/c = (d + 1)/d
Flip both fractions to get: c/1 = d/(d+1)
In other words, c = d/(d+1)
In Quantity A, replace c with d/(d+1) to get:
Quantity A: d/(d+1)
Quantity B: d
Since d is positive, we know that d+1 is positive.
So, let's multiply both quantities by (d+1) to get:
Quantity A: d
Quantity B: d² + d
Subtract d from both quantities to get:
Quantity A: 0
Quantity B: d²
Since d is not equal to zero, we know that d² is POSITIVE
Answer:
Cheers,
Brent
_________________
Brent Hanneson – Creator of greenlighttestprep.com
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