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28 Jan 2022, 03:53
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Is |x + y| < |x| + |y| ?
(1) xy < 0
(2) x < y
Similar Question from GMAT Prep is HERE.
(1) xy < 0
(2) x < y
Similar Question from GMAT Prep is HERE.
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28 Jan 2022, 22:28
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Is |x + y| < |x| + |y| ?
(1) xy < 0
Xand y will be of opposite sign
So,
|x + y| < |x| + |y|
Sufficient
(2) x < y
X and y both positive
|x + y| = |x| + |y|
If x=-1 and y= 3, then
|x + y| < |x| + |y|
Not sufficient
Posted from my mobile device
(1) xy < 0
Xand y will be of opposite sign
So,
|x + y| < |x| + |y|
Sufficient
(2) x < y
X and y both positive
|x + y| = |x| + |y|
If x=-1 and y= 3, then
|x + y| < |x| + |y|
Not sufficient
Posted from my mobile device
29 Jan 2022, 21:51
Kudos
Bookmarks
Is |x + y| < |x| + |y| ?
(1) xy < 0
(2) x < y
Some theory,
1- The sum of absolute values of two numbers is always greater than or equal to the absolute value of the sum.
2- They both are equal when, a) both x and y are of the same sign b) Atleast one of them is zero.
Ex. I 3+(-2) I < I 3 I + I -2 I
Statement 1- xy<0, which means x and y are of opposite signs and neither of them is zero.
Ans- Yes
Sufficient.
Statement 2- x<y, does not tell us anything about the sign of the numbers x and y and whether any of them is zero.
Insufficient.
Ans-A
(1) xy < 0
(2) x < y
Some theory,
1- The sum of absolute values of two numbers is always greater than or equal to the absolute value of the sum.
2- They both are equal when, a) both x and y are of the same sign b) Atleast one of them is zero.
Ex. I 3+(-2) I < I 3 I + I -2 I
Statement 1- xy<0, which means x and y are of opposite signs and neither of them is zero.
Ans- Yes
Sufficient.
Statement 2- x<y, does not tell us anything about the sign of the numbers x and y and whether any of them is zero.
Insufficient.
Ans-A
