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Bunuel
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Bunuel
What is the value of x?

(1) |2x + 3| = 4
(2) |4x – 4| = 2

Question: x = ?

Statement 1: |2x + 3| = 4

i.e. 2x+3 = +4 or -4

i.e. x = 1/2 or -7/2

NOT SUFFICIENT

Statement 2: |4x – 4| = 2

i.e. 4x-4 = +2 or -2

i.e. x = 3/2 or 1/2

NOT SUFFICIENT

Combining

x = 1/2

SUFFICIENT

Answer Option C
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Subject: What is the value of x? (1) |2x + 3| = 4 (2) |4x – 4| = 2

SHUBHAM GAUTAM
Statement 1 -
|2x-3| = 4
i.e. 2x-3 = 4 => x = 1/2
or 3-2x=4 => x = -1/2
Not Sufficient

Statement 2 -
|4x-4| = 2
i.e. 4x-4 = 2 => x = 3/2
or 4-4x = 2 => x = 1/2
Not Sufficient

Combining both St
x= 1/2

IMO : C


Hi Shubham.. Trust that you are safe.
I have a small doubt in this question. The answer which you give is absolutely fine. I understood the method. When I tried it first, I did it in a different way and got the wrong answer.

Here, in the first statement, what I did is |2x+3|=4
|2X|=1
|x| = 1/2
which means, values will range from -1/2<X<1/2

Now, i did the same with second statement
|4x-4| = 2
|4X| = 2+4
|4X| = 6
|X| = 6/4 => |X| = 3/2
the range will be -3/2 < x < 3/2

Here, I don't have a common number connect between 1st and 2nd statement. I ended up choosing E. Am I missing something?
I am so sorry to ask you all these things suddenly.

Hope to hear from you soon.

Have a great day & stay safe.[/quote]

RESPONDING TO A PM :-
PLEASE NOTE THAT |2X-3| (BLUE) AND |2X|-3 (PURPLE) ARE DIFFERENT STATEMENTS. REF GRAPH ATTACHED
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Screen Shot 2020-12-31 at 11.22.10 AM.png
Screen Shot 2020-12-31 at 11.22.10 AM.png [ 39.14 KiB | Viewed 1394 times ]

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