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# How many real solutions has |2x - 3|/5 - |x + 1|/5 = x - 2?

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Manager
Joined: 21 Feb 2019
Posts: 125
Location: Italy
How many real solutions has |2x - 3|/5 - |x + 1|/5 = x - 2?  [#permalink]

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30 Mar 2019, 09:55
2
12
00:00

Difficulty:

95% (hard)

Question Stats:

38% (02:26) correct 63% (02:32) wrong based on 128 sessions

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How many real solutions has the following equation got?

$$\frac{|2x - 3|}{5} - \frac{|x + 1|}{5} = x - 2$$

A. None
B. 1
C. 2
D. 3
E. Infinite
Manager
Joined: 21 Feb 2019
Posts: 125
Location: Italy
Re: How many real solutions has |2x - 3|/5 - |x + 1|/5 = x - 2?  [#permalink]

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01 Apr 2019, 12:13
1
1
Solution attached.
Attachments

Scan.pdf [340.38 KiB]

Intern
Joined: 09 Apr 2018
Posts: 13
Re: How many real solutions has |2x - 3|/5 - |x + 1|/5 = x - 2?  [#permalink]

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16 Apr 2019, 02:34
1
lucajava wrote:
How many real solutions has the following equation got?

$$\frac{|2x - 3|}{5} - \frac{|x + 1|}{5} = x - 2$$

A. None
B. 1
C. 2
D. 3
E. Infinite

Using critical key point method, Only one solution is obtained. i.e. X=3/2
Intern
Joined: 14 Jan 2019
Posts: 12
Re: How many real solutions has |2x - 3|/5 - |x + 1|/5 = x - 2?  [#permalink]

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25 May 2019, 07:28
Re: How many real solutions has |2x - 3|/5 - |x + 1|/5 = x - 2?   [#permalink] 25 May 2019, 07:28
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