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Which of the following is a solution for the above equation

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Carcass
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Which of the following is a solution for the above equation [#permalink] New post   11 Feb 2022, 09:30
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|x+2|+|2x+6|+|3x−3|=12

Which of the following is a solution for the above equation


(A) −52

(B) −75

(C) −76

(D) 56

(E) 53
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A
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Re: Which of the following is a solution for the above equation [#permalink] New post   11 Feb 2022, 10:42
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Carcass wrote:
|x+2|+|2x+6|+|3x−3|=12

Which of the following is a solution for the above equation


(A) −52

(B) −75

(C) −76

(D) 56

(E) 53



STRATEGY: As with all GRE Multiple Choice questions, we should immediately ask ourselves, Can I use the answer choices to my advantage?
In this case, we can easily test the answer choices.
Now we should give ourselves 15 to 20 seconds to identify a faster approach.
Since an algebraic approach looks tricky/long, I'm going to test the given values.

A) Plug in x = -2.5 to get: |(-2.5) + 2| + |2(-2.5) + 6| + |3(-2.5) - 3| = 12
Evaluate: 0.5 + 1 + 10.5 = 12
WORKS!

Answer: A
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gmatclubot
Re: Which of the following is a solution for the above equation [#permalink]
11 Feb 2022, 10:42
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