It is currently 20 Feb 2019, 12:18

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# If |3x + 7| ≥ 2x + 12, then which of the following is true?

Author Message
TAGS:
Moderator
Joined: 18 Apr 2015
Posts: 5572
Followers: 89

Kudos [?]: 1117 [1] , given: 5159

If |3x + 7| ≥ 2x + 12, then which of the following is true? [#permalink]  08 Aug 2018, 16:28
1
KUDOS
Expert's post
00:00

Question Stats:

65% (01:06) correct 35% (01:00) wrong based on 20 sessions
If $$|3x + 7| ≥ 2x + 12$$, then which of the following is true?

A. $$x \leq \frac{-19}{5}$$

B. $$x \geq \frac{-19}{5}$$

C. $$x \geq 5$$

D. $$x \leq \frac{-19}{5}$$ or $$x \geq 5$$

E. $$\frac{-19}{5} \leq x \leq 5$$

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

_________________
Manager
Joined: 06 Jun 2018
Posts: 94
Followers: 0

Kudos [?]: 58 [0], given: 0

Re: If |3x + 7| ≥ 2x + 12, then which of the following is true? [#permalink]  09 Aug 2018, 14:06
Carcass wrote:
If $$|3x + 7| ≥ 2x + 12$$, then which of the following is true?

A. $$x \leq \frac{-19}{5}$$

B. $$x \geq \frac{-19}{5}$$

C. $$x \geq 5$$

D. $$x \leq \frac{-19}{5}$$ or $$x \geq 5$$

E. $$\frac{-19}{5} \leq x \leq 5$$

Kudos for R.A.E

For absolute value there will be 2 cases all time.

Case 1 : when 3x + 7 is positive.

$$3x + 7 \geq2x + 12$$

$$x \geq5$$

Case 2: When 3x + 7 is negative.

$$-3x - 7 \geq2x + 12$$

$$x \leq-19/5.$$

Re: If |3x + 7| ≥ 2x + 12, then which of the following is true?   [#permalink] 09 Aug 2018, 14:06
Display posts from previous: Sort by