Question for the math experts

[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)

[bringer]

dont cheat on your homework

[michaelw]

fuck im a biology expert
why they throwing this shit at me

i havent done real math in 3 years

[Chris]

the answer is 5 you fucking retard go back to 1st grade GIMP

[michaelw]

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

[Voodoo]

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.

[Alexeos]

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

[Lane]

1 sec..

[BlueDesignStudios]

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

[Lane]

i made a mistake, doin it again now

[GFED]

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 -

[Lane]

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

[Lane]

hehe, i think the first one I did was correct already

[michaelw]

thanks =)

[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))

[michaelw]

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

[brazz]

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.

[EscortBiz]

all based on centric goal values

[fiveyes]

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.

[JamesK]

it all means lick my butt

[fiveyes]

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:
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