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If a < 0, is |a| - a - |2a| = ?

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Bunuel
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If a < 0, is |a| - a - |2a| = ? [#permalink] New post   30 Dec 2022, 13:46
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A
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C
D
E

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92% (00:55) correct 8% (01:31) wrong based on 177 sessions
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If a < 0, is |a| - a - |2a| = ?

A. a
B. -1
C. 0
D. 1
E. –a
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C
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Re: If a < 0, is |a| - a - |2a| = ? [#permalink] New post   30 Dec 2022, 19:01
|a|-|2a| = -|a|

-a - |a| and a <0:
-a - (-a) = 0
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Re: If a < 0, is |a| - a - |2a| = ? [#permalink] New post   30 Dec 2022, 23:04
Bunuel wrote:
If a < 0, is |a| - a - |2a| = ?

A. a
B. -1
C. 0
D. 1
E. –a


As a < 0

  • |a| = -a
  • |2a| = -2a

Substituting the values

-a -a - (-2a)

-2a + 2a = 0

Option C
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Re: If a < 0, is |a| - a - |2a| = ? [#permalink] New post   24 Oct 2023, 10:53
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Given that a < 0 and we need to find the value of |a| - a - |2a|

a < 0
=> a can be taken as -k where k > 0
=> |a| - a -|2a| = |-k| -(-k) -|-2k|
= k + k - 2k (as k> 0 => |-k| =k)
= 2k - 2k
= 0

So, Answer will be C
Hope it helps!

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Re: If a < 0, is |a| - a - |2a| = ? [#permalink]
24 Oct 2023, 10:53
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