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

Question

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

Mo2men · Answer

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

aroon31400 · Answer

|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

Regards
ARUN

Also chekout the review on GMAT Practice tests 
 https://gmatclub.com/forum/all-gmat-cat-practice-tests-links-prices-reviews-77460-620.html#p1758429

GMATinsight · Answer

|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

Badari · Answer

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

JeffTargetTestPrep · Answer

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

Nunuboy1994 · Answer

2 ways to do abs. val

Pos

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

Neg

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

B

AkshdeepS · Answer

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)

pratiksha1998 · Answer

Statement 1:
X^2>0; there can be 2 cases x can be positive and x can be negative. Therefore will lead to two values of x
Statement 1 is not sufficient

Statement 2:
X>0; x is positive. This statement will give only one value of x
Statement 2 is sufficient

Option B is the answer

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards