Carcass wrote:
x and y are both positive integers.
Quantity A |
Quantity B |
\(|x+y|\) |
\(|x| - |y|\) |
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.
If x and y are both
positive integers, then \(|x+y|=x+y\), \(|x|=x\), and \(|y|=y\)
For example, \(|2+3|=5\), \(|6|=6\), and \(|11|=11\)
So, we get:
Quantity A: x + y
Quantity B: x - y
Subtract x from both quantities to get:
Quantity A: y
Quantity B: -y
Add y to both quantities to get:
Quantity A: 2y
Quantity B: 0
Since y is POSITIVE, we know that 2y is also POSITIVE
So, \(2y>0\)
Answer: A
Cheers,
Brent