is | x +5 | = 10?
(1) | x-5 | = 10
(2) | x | -5 = 10
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| x +5 | = 10
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jainrahul1985
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shankar.ashwin
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(1) | x-5 | = 10
x = 15 (or) -5
for both |x+5| does not equal 10 - sufficient
(2) | x | -5 = 10
x = -15 (or) 15
for x=15 -> |x+5| = 20
and for x=-15 -> |x+5| = 10 - Insuff
A
x = 15 (or) -5
for both |x+5| does not equal 10 - sufficient
(2) | x | -5 = 10
x = -15 (or) 15
for x=15 -> |x+5| = 20
and for x=-15 -> |x+5| = 10 - Insuff
A
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GMATGuruNY
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jainrahul1985 wrote:is | x +5 | = 10?
(1) | x-5 | = 10
(2) | x | -5 = 10
Shankar's solution is great.
Another approach:
|x-y| = the DISTANCE between x and y.
Question stem rephrased:
Is | x - (-5) | = 10?
Is the distance between x and -5 equal to 10?
In other words:
Does x=-15 or x=5?
Statement 1: |x-5| = 10.
The distance between x and 5 is equal to 10.
Thus, x=-5 or x=15.
Does x=-15 or x=5? NO.
SUFFICIENT.
Statement 2: |x| - 5 = 10.
{x-0| = 15.
The distance between x and 0 is 15.
Thus, x=-15 or x=15.
Does x=-15 or x=5?
If x=-15, YES.
If x=15, NO.
INSUFFICIENT.
The correct answer is A.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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pemdas
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actually squaring both sides in this case also solves question
(x+5)^2=100, x^2+10x-75=0 and (x+15)(x-5)=0
question rephrased is x(-15;5)?
st(1) (x-5)^2=100, x^2-10x-75=0 and (x-15)(x+5) Suff
st(2) x^2=225 or x^2-225=0, (x-15)(x+15)=0 Insuff
ans. A
(x+5)^2=100, x^2+10x-75=0 and (x+15)(x-5)=0
question rephrased is x(-15;5)?
st(1) (x-5)^2=100, x^2-10x-75=0 and (x-15)(x+5) Suff
st(2) x^2=225 or x^2-225=0, (x-15)(x+15)=0 Insuff
ans. A
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