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555-605 (Medium)|   Algebra|      
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Sajjad1994
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If 3x - 3 - 4x = x - 7 - 2x + 4, then what is the value of x ? 21 Mar 2020, 01:00
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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35% (medium)

Question Stats:

65% (01:23) correct 35% (01:37) wrong based on 84 sessions

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If \(3x - 3 - 4x = x - 7 - 2x + 4\), then what is the value of \(x\) ?

(1) \(x > -1\)

(2) \(x < 1\)
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E
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If 3x - 3 - 4x = x - 7 - 2x + 4, then what is the value of x ? 21 Mar 2020, 06:56
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Hello,

This is my first ever reply to a post here, here goes.

A little simplification of the stem or question indicates that the two sides of the equation are identical. Left and right side both simplify down to -x-3=-x-3. No matter what the value of x, equation equals null or zero. Answer therefore is E.

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If 3x - 3 - 4x = x - 7 - 2x + 4, then what is the value of x ? 13 Jul 2020, 00:37
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why not D ? because both the statements have common answer 0
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If 3x - 3 - 4x = x - 7 - 2x + 4, then what is the value of x ? 13 Jul 2020, 00:45
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anmolsd1995
why not D ? because both the statements have common answer 0
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I think you mean to say "why not C?". When considering two statements together w have that -1 < x < 1. So, x can be any number in that range: -1/9, -1/111109, 0, 2/7, ... Notice that we are not told that x is an integer, so we cannot say that x = 0 from -1 < x < 1.
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If 3x - 3 - 4x = x - 7 - 2x + 4, then what is the value of x ? 13 Jul 2020, 02:13
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SajjadAhmad
If \(3x - 3 - 4x = x - 7 - 2x + 4\), then what is the value of \(x\) ?

(1) \(x > -1\)

(2) \(x < 1\)
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Bunuel SajjadAhmad Why can't the answer be D?

As per the question stem x can be any value on the number line.

So, the numbers satisfying Statements 1 and 2 can fit individually in the equation given, ryt.
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If 3x - 3 - 4x = x - 7 - 2x + 4, then what is the value of x ? 13 Jul 2020, 02:20
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If \(3x - 3 - 4x = x - 7 - 2x + 4\), then what is the value of \(x\) ?

(1) \(x > -1\)

(2) \(x < 1\)

Bunuel SajjadAhmad Why can't the answer be D?

As per the question stem x can be any value on the number line.

So, the numbers satisfying Statements 1 and 2 can fit individually in the equation given, ryt.
Show more

When a DS question asks about the value of some variable, then the statement(s) is sufficient ONLY if you can get the single numerical value of this variable.

This question is a VALUE question, so a statement to be sufficient it should give the single numerical value of x.

Even when combining the statement, x can be any number from -1 to 1. So, the answer is E.
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If 3x - 3 - 4x = x - 7 - 2x + 4, then what is the value of x ? 13 Jul 2020, 02:48
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SajjadAhmad
If \(3x - 3 - 4x = x - 7 - 2x + 4\), then what is the value of \(x\) ?

(1) \(x > -1\)

(2) \(x < 1\)
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Asked: If \(3x - 3 - 4x = x - 7 - 2x + 4\), then what is the value of \(x\) ?
\(3x - 3 - 4x = x - 7 - 2x + 4\)
-x -3 = -x -3
This equation does not provide any information about x.

(1) \(x > -1\)
x = {0,3,6,....}
NOT SUFFICIENT

(2) \(x < 1\)
x = {-6, - 3, -1, 0.....}
NOT SUFFICIENT

(1) + (2)
(1) \(x > -1\)
(2) \(x < 1\)
x = {-.1, .1, .3, .5,...}
-1<x<1; But it is not mentioned that x is an integer
NOT SUFFICIENT

IMO E
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If 3x - 3 - 4x = x - 7 - 2x + 4, then what is the value of x ? 13 Jul 2020, 03:08
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On solving we get, -x-3 = -x-3.
Note: We need to find the value of x. A definite value. If there are multiple acceptable values, then that statement is not enough.

Statements:

(1) x>-1

Since the given condition above is always true, let's start considering values and see what we get.

x = -0.5 , 0 , 5 , 10.

All are acceptable values for statement (1). Do we have a definite value for x? NO.

Therefore, Insufficient.

(2) x < 1

Again, x = 0.5 , 0 , -0.5 , -10 are all acceptable values. Do we have a definite value for x? NO.

Therefore, Insufficient.

Combining (1) and (2), we are still not any better.

Note : (1) and (2) might look Sufficient individually but we don't get a value of x.

Therefore, the answer is Option (E).
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