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(y-4)^2>0
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03 Feb 2021, 04:25
03 Feb 2021, 04:25
Expert Reply
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Question Stats:
62% (00:43) correct
37% (00:43) wrong based on 8 sessions
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\((y-4)^2>0\)
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.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
y |
4 |
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.
Kudos for the right answer and explanation
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Given Kudos: 9
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GMAT 1: 700 Q51 V31
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(y-4)^2>0
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03 Feb 2021, 09:18
03 Feb 2021, 09:18
1
There are two ways of solving the problem
Method 1: Substitution
\((y-4)^2>0\)
For this to be true y-4 should be non-zero
=> y can be greater than 4 or can be less than 4 also
If y >4 then y-4 will be positive and \((y-4)^2>0\) will be true
If y < 4 then y-4 will be negative and \((y-4)^2>0\) will be true
So, Quantity A (y) can be greater than or less than quantity B (4)
So, answer will be D
Method 2: Algebra
This question is based on inequalities and absolute value
\((y-4)^2>0\)
Taking square root on both the sides we get
|y-4| > 0
=> y > 4 or y < -4
Quantity A i.e y can be > 4 or <-4
Quantity B is 4
So, answer will be D as y can be greater than 4 or can be less than 4 also
Hope it helps!
Refer the following videos to know about inequalities and absolute values in more detail
Method 1: Substitution
\((y-4)^2>0\)
For this to be true y-4 should be non-zero
=> y can be greater than 4 or can be less than 4 also
If y >4 then y-4 will be positive and \((y-4)^2>0\) will be true
If y < 4 then y-4 will be negative and \((y-4)^2>0\) will be true
So, Quantity A (y) can be greater than or less than quantity B (4)
So, answer will be D
Method 2: Algebra
This question is based on inequalities and absolute value
\((y-4)^2>0\)
Taking square root on both the sides we get
|y-4| > 0
=> y > 4 or y < -4
Quantity A i.e y can be > 4 or <-4
Quantity B is 4
So, answer will be D as y can be greater than 4 or can be less than 4 also
Hope it helps!
Refer the following videos to know about inequalities and absolute values in more detail
Re: (y-4)^2>0
[#permalink]
05 Feb 2021, 08:47
05 Feb 2021, 08:47
Hi,
(y−4)^2>0
Consider this, when will (y-4)^2=0
When y=4
Any value other than 4 will work, why? As it is squared we will always get a positive square value and the least of such value is 1 which is greater than 0.
But take note the value can also be negative or <4 or it can also be >4
Hence D, is the correct answer
Hope this helps!
(y−4)^2>0
Consider this, when will (y-4)^2=0
When y=4
Any value other than 4 will work, why? As it is squared we will always get a positive square value and the least of such value is 1 which is greater than 0.
But take note the value can also be negative or <4 or it can also be >4
Hence D, is the correct answer
Hope this helps!
