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If |6 – x| = 7, what is the value of x?

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If |6 – x| = 7, what is the value of x?  [#permalink]

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New post 06 Nov 2016, 09:08
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

81% (01:00) correct 19% (01:11) wrong based on 283 sessions

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Re: If |6 – x| = 7, what is the value of x?  [#permalink]

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New post 07 Nov 2016, 01:43
Bunuel wrote:
If |6 – x| = 7, what is the value of x?

(1) x^2 > 0
(2) x > 0



From the prompt: |6 – x| = 7....then x = -1 or 13

1) It is obvious that 1>0 and 13^2 >0... Insufficient


2) Only one answer fits. X= 13


Answer: B
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Re: If |6 – x| = 7, what is the value of x?  [#permalink]

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New post 07 Nov 2016, 03:17
2
|6-x| = 7


this comes down to
(6-x) = 7 or (6-x) = -7
x=-1 or x=11

For option A
(1) x^2 > 0

both options x=-1 and 11 hold good as X^2 is positive in both cases

For option B
(2) x > 0

only x=11 holds, hence sufficient. Hence B

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Re: If |6 – x| = 7, what is the value of x?  [#permalink]

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New post 07 Nov 2016, 07:34
Bunuel wrote:
If |6 – x| = 7, what is the value of x?

(1) x^2 > 0
(2) x > 0



|6 – x| = 7
i.e. x = 13 or -1

Question: what is the value of x?

Statement 1: x^2 > 0
x^2 > 0 is true for both x=13 or -1 hence
NOT SUFFICIENT


Statement 2: x > 0
x > 0 for only x=13 and not for x= -1 hence
SUFFICIENT

Answer: Option B
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Re: If |6 – x| = 7, what is the value of x?  [#permalink]

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New post 08 Nov 2016, 07:06
Question Stem |6-x| = 7
(6-x) = 7 or (6-x) = -7
x=-1 or x=13

Statement 1
x^2 > 0, both (-1)^2 = 1>0 , (13)^2 =169 >0, Inconclusive both, x=-1 and 13 fits into. Statement-1 Insufficent

Statement 2
x > 0

only x=13 holds, hence sufficient.

Solution: OPTION B
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Re: If |6 – x| = 7, what is the value of x?  [#permalink]

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New post 09 Nov 2016, 11:33
Bunuel wrote:
If |6 – x| = 7, what is the value of x?

(1) x^2 > 0
(2) x > 0


We can start by determining the possible values of x from the equation |6 – x| = 7. To determine the values of x, we can solve the absolute value equation for when 6 - x is positive and negative.

When 6 – x is positive:

6 - x = 7

-x = 1

x = -1

When 6 – x is negative:

-(6 - x) = 7

-6 + x = 7

x = 13

Statement One Alone:

x^2 > 0

Since x^2 is greater than zero, x can either be positive or negative. Thus, x could equal -1 or 13. Statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

x > 0

Since x is greater than zero, x must equal 13. Statement two alone is sufficient to answer the question.

Answer: B
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Re: If |6 – x| = 7, what is the value of x?  [#permalink]

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New post 01 Sep 2017, 14:54
Bunuel wrote:
If |6 – x| = 7, what is the value of x?

(1) x^2 > 0
(2) x > 0



2 ways to do abs. val

Pos

6-x =7
-x =1
x= -1

Neg

-l6-xl = 7
-6 +x =7
x= 13

B
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If |6 – x| = 7, what is the value of x?  [#permalink]

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New post 10 Mar 2018, 22:36
Bunuel wrote:
If |6 – x| = 7, what is the value of x?

(1) x^2 > 0
(2) x > 0


Question : x = ?

Given : |6 – x| = 7

6 – x = 7 or 6 – x = - 7

x = -1 or x = 13

St 1 : x^2 > 0, then x can be -1 or 13 Not sufficient

St 2: x > 0

means only 13 is the valid answer. Sufficient

(B)
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If |6 – x| = 7, what is the value of x?   [#permalink] 10 Mar 2018, 22:36
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