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# What is the value of x? 1. x^4 = |x| 2. x^2 > x

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CEO
Joined: 21 Jan 2007
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Location: New York City
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What is the value of x? 1. x^4 = |x| 2. x^2 > x [#permalink]  05 Dec 2007, 03:14
What is the value of x?

1. x^4 = |x|
2. x^2 > x
Manager
Joined: 11 Aug 2007
Posts: 64
Followers: 1

Kudos [?]: 10 [0], given: 0

Re: Exponents and Abs Val [#permalink]  05 Dec 2007, 03:59
bmwhype2 wrote:
What is the value of x?

1. x^4 = |x|
2. x^2 > x

I got C:

from st.1 x could be -1, 0, or 1. INSUFF
from st.2 x<0>1. INSUFF

if combined: x=-1
Senior Manager
Joined: 09 Oct 2007
Posts: 467
Followers: 1

Kudos [?]: 25 [0], given: 1

I agree on C, but I don't think x could be 0 on statement in either statement.
0^4 = 1?
0^2 > 0?

Or am I missing something?
Director
Joined: 08 Jun 2007
Posts: 584
Followers: 2

Kudos [?]: 80 [0], given: 0

Re: Exponents and Abs Val [#permalink]  05 Dec 2007, 19:09
elgo wrote:
bmwhype2 wrote:
What is the value of x?

1. x^4 = |x|
2. x^2 > x

I got C:

from st.1 x could be -1, 0, or 1. INSUFF
from st.2 x<0>1. INSUFF

if combined: x=-1

x = -1 doesnt satisfy stmnt 2
i think its E.
Director
Joined: 12 Jul 2007
Posts: 864
Followers: 13

Kudos [?]: 224 [0], given: 0

Re: Exponents and Abs Val [#permalink]  05 Dec 2007, 19:13
ashkrs wrote:
elgo wrote:
bmwhype2 wrote:
What is the value of x?

1. x^4 = |x|
2. x^2 > x

I got C:

from st.1 x could be -1, 0, or 1. INSUFF
from st.2 x<0>1. INSUFF

if combined: x=-1

x = -1 doesnt satisfy stmnt 2
i think its E.

Sure it does.

if x = -1 then statement 2 would be

(-1)^2 > -1
1 > -1 works fine

but you still need statement 1 to narrow it down to 1 and -1, so the answer is C.
Current Student
Joined: 28 Dec 2004
Posts: 3387
Location: New York City
Schools: Wharton'11 HBS'12
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Kudos [?]: 187 [0], given: 2

I get C too..same reason as posted by others
Manager
Joined: 11 Aug 2007
Posts: 64
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Kudos [?]: 10 [0], given: 0

asdert wrote:
I agree on C, but I don't think x could be 0 on statement in either statement.
0^4 = 1?
0^2 > 0?

Or am I missing something?

Why 0^4=1?

0*0*0*0=?
Manager
Joined: 26 Sep 2007
Posts: 65
Followers: 1

Kudos [?]: 12 [0], given: 5

It's C

From statement 1, we get x = -1,0,1 (Insufficient)
From statement 2, we get x>1 and x<0 (Insufficient)

Missed x<0 for statement 2, so it should be C

So, combining both we get x = -1
Manager
Joined: 11 Aug 2007
Posts: 64
Followers: 1

Kudos [?]: 10 [0], given: 0

sevenplus wrote:
It's E

From statement 2, we get x>1 (Insufficient)

So, combining both not sufficient.

Nope. from st.2 we get x>1 AND x<0

Last edited by elgo on 06 Dec 2007, 12:56, edited 1 time in total.
CEO
Joined: 21 Jan 2007
Posts: 2760
Location: New York City
Followers: 9

Kudos [?]: 391 [0], given: 4

elgo wrote:
asdert wrote:
I agree on C, but I don't think x could be 0 on statement in either statement.
0^4 = 1?
0^2 > 0?

Or am I missing something?

Why 0^4=1?

0*0*0*0=?

zero base raised to any power is zero
any base raised to zero power is 1.
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