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Old 09-12-2003, 12:27 AM   #1
michaelw
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Question for the math experts

-3 < (1/x) <= 1

whats the interval for x
its so simple, i just dont know how to show my work
x>= 1, and x < 0

(>= is greater than or equal to)
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Old 09-12-2003, 12:28 AM   #2
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Old 09-12-2003, 12:30 AM   #3
michaelw
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fuck im a biology expert
why they throwing this shit at me

i havent done real math in 3 years
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Old 09-12-2003, 12:31 AM   #4
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the answer is 5 you fucking retard go back to 1st grade GIMP
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Old 09-12-2003, 12:38 AM   #5
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Quote:
Originally posted by JupZChris
the answer is 5 you fucking retard go back to 1st grade GIMP
Good job - now go back to your toys while the adults handle this
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Old 09-12-2003, 12:43 AM   #6
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Quote:
Originally posted by JupZChris
the answer is 5 you fucking retard go back to 1st grade GIMP
You need to adjust your attitude little girl. WTF is your problem? Can't get a date or something? Shoved 3 too many bottles up your ass and they broke?

You have absolutely nothing to contribute to anything. Might as well slit your own throat and call it a life.

Buah bye now.

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Old 09-12-2003, 12:48 AM   #7
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Quote:
Originally posted by michaelw
-3 < (1/x) <= 1

whats the interval for x
its so simple, i just dont know how to show my work
x>= 1, and x < 0

(>= is greater than or equal to)
bla-bla-bla

Last edited by Alexeos; 09-12-2003 at 12:51 AM..
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Old 09-12-2003, 12:54 AM   #8
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1 sec..
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Old 09-12-2003, 12:58 AM   #9
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Quote:
Originally posted by Lane


multiply by x and you got:

I.

-3x < 1
1 <= x

for x >= 0

II.

-3x > 1
1 >= x

for x < 0


from part I, you get x >= 1
from part II you get x <= 1 and x < -1/3 , which can be simplified as x < -1/3

the answer should be:

x >= 1 and x < -1/3
This looks good to me

But I ain't done this shit for a few years now
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Old 09-12-2003, 12:59 AM   #10
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i made a mistake, doin it again now
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Old 09-12-2003, 01:01 AM   #11
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Quote:
Originally posted by michaelw
-3 < (1/x) <= 1

whats the interval for x
its so simple, i just dont know how to show my work
x>= 1, and x < 0

(>= is greater than or equal to)
-3 < (1/x) <= 1

(1/x) <= 1

x >= 1

-3 < (1/x)

-3x < 1
x < -(1/3)


?i dont remember if the < changes to > coz of the -
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Old 09-12-2003, 01:02 AM   #12
Lane
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Quote:
Originally posted by michaelw
-3 < (1/x) <= 1

whats the interval for x
its so simple, i just dont know how to show my work
x>= 1, and x < 0

(>= is greater than or equal to)
multiply by x and you got:

I.

-3x < 1
1 <= x

for x >= 0

II.

-3x > 1
1 >= x

for x < 0


from part I, you get x >=1 and x > -1/3, which results in x >= 1
from part II you get x <= 1 and x < -1/3 , which results in x < -1/3
the answer should be:

x >= 1 and x < -1/3



(not 100% sure about this one either actually)
damn its been long since ive done this
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Old 09-12-2003, 01:04 AM   #13
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hehe, i think the first one I did was correct already
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Old 09-12-2003, 01:07 AM   #14
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thanks =)
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Old 09-12-2003, 01:26 AM   #15
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This all looks kinda messed up people ;)

1) We would need to know what range of numbers x may be. but lets pretend it may be stuff like 1/3


2) first part:

-3 < 1/x

results to:

-3x < 1
x > -(1/3)

the second part:

1/x <= 1

results to:

1 <= x
x >= 1

thus you have x > -(1/3) and x >= 1 making the answer to what x is:

x >= 1

(because 1 > -(1/3))
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Old 09-12-2003, 01:38 AM   #16
michaelw
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Quote:
Originally posted by Nathan
This all looks kinda messed up people ;)

1) We would need to know what range of numbers x may be. but lets pretend it may be stuff like 1/3


2) first part:

-3 < 1/x

results to:

-3x < 1

x > -(1/3)

the second part:

1/x <= 1

results to:

1 <= x
x >= 1

thus you have x > -(1/3) and x >= 1 making the answer to what x is:

x >= 1

(because 1 > -(1/3))
look at the bolded part.. i think lane hit it on the nose correctly (could br wrong)

see, you dont know that x is a positive number. when you divide x by both sides, x can be negative too, resulting in a sign change
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Old 09-12-2003, 06:31 AM   #17
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Quote:
Originally posted by Lane


multiply by x and you got:

I.

-3x < 1
1 <= x

for x >= 0

II.

-3x > 1
1 >= x

for x < 0


from part I, you get x >=1 and x > -1/3, which results in x >= 1
from part II you get x <= 1 and x < -1/3 , which results in x < -1/3
the answer should be:

x >= 1 and x < -1/3



(not 100% sure about this one either actually)
damn its been long since ive done this



The answer is correct.
Just do a graphic of f(x)=1/x (a double hiperbole), and it will be easier to visualize it.
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Old 09-12-2003, 07:33 AM   #19
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Quote:
Originally posted by michaelw
-3 < (1/x) <= 1

whats the interval for x
its so simple, i just dont know how to show my work
x>= 1, and x < 0

(>= is greater than or equal to)
-3 < (1/x)
3 > -(1/x) (multiply by -1)
3x > -1 (multiply by x)
x > -(1/3) (divide by 3)

1/x <= 1
1 <= x (multiply by x)
x >= 1

So: (Keeping in mind that x cannot be 0!)
-(1/3) < x < 0, x >= 1

Or, in english, any number between -(1/3) and 0, excluding -(1/3) and 0, and all numbers 1 and greater, satisify the equation.
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Old 09-12-2003, 07:34 AM   #20
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Old 09-12-2003, 08:39 AM   #21
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Quote:
Originally posted by brazz
The answer is correct.
Just do a graphic of f(x)=1/x (a double hiperbole), and it will be easier to visualize it.
This is the graph of the correct answer:
<CENTER><IMG SRC="http://www.iiiii.com/functi10.gif"></CENTER>
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