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Which of the following is a solution for the above equation

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Which of the following is a solution for the above equation  [#permalink]

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New post 28 Feb 2019, 22:23
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A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

48% (02:54) correct 52% (02:39) wrong based on 52 sessions

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\(|x+2|+|2x+6|+|3x-3|=12\)
Which of the following is a solution for the above equation


A) \(-\frac{5}{2}\)

B) \(-\frac{7}{5}\)

C) \(-\frac{7}{6}\)

D) \(\frac{5}{6}\)

E) \(\frac{5}{3}\)

Source : Ignus

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Which of the following is a solution for the above equation  [#permalink]

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New post 01 Mar 2019, 09:55
Let us substitute options and check.

From 1) x = -5/2
Put this in the question.
\(|\frac{-5}{2}+1|+|2(\frac{-5}{2})+6|+|3(\frac{-5}{2})-3|\)

\(|\frac{1}{2}+1+\frac{21}{2}|\)

\(12\)

A is the answer.
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Re: Which of the following is a solution for the above equation  [#permalink]

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New post 04 Mar 2019, 13:19
Chethan92 wrote:
Let us substitute options and check.

From 1) x = -5/2
Put this in the question.
\(|\frac{-5}{2}+1|+|2(\frac{-5}{2})+6|+|3(\frac{-5}{2})-3|\)

\(|\frac{1}{2}+1+\frac{21}{2}|\)

\(12\)

A is the answer.


Is there an efficient way to solve without plugging in values?
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Re: Which of the following is a solution for the above equation  [#permalink]

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New post 05 Mar 2019, 09:45
goobo wrote:
Chethan92 wrote:
Let us substitute options and check.

From 1) x = -5/2
Put this in the question.
\(|\frac{-5}{2}+1|+|2(\frac{-5}{2})+6|+|3(\frac{-5}{2})-3|\)

\(|\frac{1}{2}+1+\frac{21}{2}|\)

\(12\)

A is the answer.


Is there an efficient way to solve without plugging in values?


goobo, As there are 3 mods. the number of equations you get is more and it becomes difficult to solve it under 2 minutes.
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Re: Which of the following is a solution for the above equation   [#permalink] 05 Mar 2019, 09:45
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