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23 May 2020, 07:46
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Is |x - 3| < 7 ?
(1) x > 0
(2) x < 10
DS21224
(1) x > 0
(2) x < 10
DS21224
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23 May 2020, 07:50
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Bunuel
Asked: Is |x - 3| < 7 ?
|x-3|<7
-4<x<10
(1) x > 0
If x<10; YES
But if x>=10; NO
NOT SUFFICIENT
(2) x < 10
If x>-4; YES
But if x<=-4; NO
NOT SUFFICIENT
(1) + (2)
(1) x > 0
(2) x < 10
0<x<10
All values of x are inside the range -4<x<10
|x-3|<7; YES
SUFFICIENT
IMO C
yashikaaggarwal
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Updated on: 23 May 2020, 21:45
Originally posted by yashikaaggarwal on 23 May 2020, 07:58.
Last edited by yashikaaggarwal on 23 May 2020, 21:45, edited 1 time in total.
Last edited by yashikaaggarwal on 23 May 2020, 21:45, edited 1 time in total.
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Is |x - 3| < 7 ?
(1) x > 0
Case 1: put x= 1
|1-3|<7
2<7 (sufficient)
Case 2: put x = 12
|12-3|>7
9>7 (insufficient)
Statement 1: (insufficient alone)
(2) x < 10
Case 1: put x= 1
|1-3|<7
2<7 (sufficient)
Case 2: put x = -12
|-12-3|>7
15>7 (insufficient)
Statement 2 is insufficient alone.
Statement 1 and 2:
0<x<10
Case 1: put x= 9
|9-3|<7
6<7 (sufficient)
Case 2: put x= 1
|1-3|<7
2<7 (sufficient)
(Sufficient)
Answer is C
Posted from my mobile device
(1) x > 0
Case 1: put x= 1
|1-3|<7
2<7 (sufficient)
Case 2: put x = 12
|12-3|>7
9>7 (insufficient)
Statement 1: (insufficient alone)
(2) x < 10
Case 1: put x= 1
|1-3|<7
2<7 (sufficient)
Case 2: put x = -12
|-12-3|>7
15>7 (insufficient)
Statement 2 is insufficient alone.
Statement 1 and 2:
0<x<10
Case 1: put x= 9
|9-3|<7
6<7 (sufficient)
Case 2: put x= 1
|1-3|<7
2<7 (sufficient)
(Sufficient)
Answer is C
Posted from my mobile device
