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Re: Which of the following is a solution for the above equation [#permalink]
lucasdachequi
|3(-2.5) - 3| = |-7.5-3| = |-10.5| = 10.5..... not 4.5
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Which of the following is a solution for the above equation [#permalink]
Step 1: you can find the critical points on the number line, below which and above which the sign of the quantity inside the Modulus will change

|x - (-2)| + 2 |x - (-3)| + 3 |x - (+1)| = 12

The critical points: x = -3 , -2 , +1


{—————(-3)————(-2)—————(+1)——}

2nd) if you look at the answer choices, answers B, C, D, and E all fall with the range of greater than -2 and less than or equal to +1

Only answer A falls within a different range:

-3 </= x < -2

So let’s open the absolute value expressions according to this assumed range (if the answer doesn’t match A, then we can open the expressions according to the other range):

- (x + 2) + 2x + 6 - (3x - 3) = 12

-x - 2 + 2x + 6 - 3x + 3 = 12

-2x + 7 = 12

-2x = 5

X = 5 / -2 = (-) 5/2

Answer A

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