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

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What is the value of x? 1. x^4 = |x| 2. x^2 > x [#permalink] New post 05 Dec 2007, 03:14
What is the value of x?

1. x^4 = |x|
2. x^2 > x
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Re: Exponents and Abs Val [#permalink] New post 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
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 [#permalink] New post 05 Dec 2007, 07:55
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?
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Re: Exponents and Abs Val [#permalink] New post 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.
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Re: Exponents and Abs Val [#permalink] New post 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.
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 [#permalink] New post 05 Dec 2007, 20:10
I get C too..same reason as posted by others
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 [#permalink] New post 06 Dec 2007, 12:09
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=?
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 [#permalink] New post 06 Dec 2007, 12:37
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
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 [#permalink] New post 06 Dec 2007, 12:53
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.
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 [#permalink] New post 06 Dec 2007, 12:55
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.
  [#permalink] 06 Dec 2007, 12:55
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What is the value of x? 1. x^4 = |x| 2. x^2 > x

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