Carcass wrote:
\(|x+2|+|2x+6|+|3x-3|=12\)
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) \(\frac{5}{3}\)
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