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|2y -5|<1
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21 Dec 2017, 16:54
21 Dec 2017, 16:54
Expert Reply
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Question Stats:
75% (00:48) correct
24% (00:54) wrong based on 106 sessions
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\(|2y -5|<1\)
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.
kudo for the right solution and explanation
Quantity A |
Quantity B |
y |
1 |
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.
kudo for the right solution and explanation
Re: |2y -5|<1
[#permalink]
21 Dec 2017, 23:39
21 Dec 2017, 23:39
1
2y - 5 < 1
So 2y < 6
Y < 2
So Y could be 1 so C but can be also less so Answer D
So 2y < 6
Y < 2
So Y could be 1 so C but can be also less so Answer D
Re: |2y -5|<1
[#permalink]
22 Dec 2017, 08:54
22 Dec 2017, 08:54
2
Carcass wrote:
\(|2y -5|<1\)
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.
kudo for the right solution and explanation
Quantity A |
Quantity B |
y |
1 |
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.
kudo for the right solution and explanation
Here we have to consider negative and positive value of |2y -5|.
Considering (2y - 5) to be negative
or -(2y - 5) < 1
or 2y - 5 > -1 (equality changes as the sign changes)
or 2y > 4 (adding 5 on both side)
or y > 2
Now consider positive
|2y -5|<1
or 2y - 5 < 1
or 2y < 6 (adding 5 on both side)
or y <3
Therefore the value of y is = 2 < y < 3
Hence statement A.
