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98 < x< 102
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20 Oct 2017, 02:38
20 Oct 2017, 02:38
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\(98 < x < 102\)
\(103 < y < 107\)
Quantity A |
Quantity B |
\(y - x\) |
\(|y - x|\) |
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.
Re: 98 < x< 102
[#permalink]
20 Oct 2017, 06:19
20 Oct 2017, 06:19
1
Given that y is always greater than x, we can say that both quantities are always positive. Moreover, given that the result of y-x is positive, means that the absolute value on quantity B is superfluous. Thus, the two quantities are exactly the same. Answer C
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Re: 98 < x< 102
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09 Aug 2019, 15:09
09 Aug 2019, 15:09
Carcass wrote:
\(98 < x < 102\)
\(103 < y < 107\)
Quantity A |
Quantity B |
\(y - x\) |
\(|y - x|\) |
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.
Regardless of which x and y values you choose to use, the y-value will ALWAYS be greater than the x-value.
So, y - x will ALWAYS be POSITIVE.
This means y - x = |y - x| for any pair of values we choose to use.
Answer: C
Cheers,
Brent
