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# |3 + 3x| < –2x

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|3 + 3x| < –2x [#permalink]  08 Aug 2018, 16:31
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Question Stats:

75% (01:19) correct 25% (01:11) wrong based on 20 sessions
$$|3 + 3x| < –2x$$

 Quantity A Quantity B $$|x|$$ $$4$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E
[Reveal] Spoiler: OA

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Re: |3 + 3x| < –2x [#permalink]  11 Aug 2018, 12:29
We solve the inequality:

|3+3x| < –2x

We have two possible options:

3+3x < -2x

and

3+3x > 2x

In both cases, we move x terms to the left side and constant terms over to the right side:

5x < -3

and

x > -3

So x is constrained between -5/3 and -3. In both cases, |x| < 4. So the answer is B.
Re: |3 + 3x| < –2x   [#permalink] 11 Aug 2018, 12:29
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