x2/67/6 how do i make the variable alone???

Question

x2/6>7/6 how do i make the variable alone???

anonymous · Answer

@iambatman batman help please

anonymous · Answer

$$\large x ^{\frac{ 2 }{ 6 }}>\frac{ 7 }{ 6 }$$ first thing is this what you meant?

anonymous · Answer

yes

anonymous · Answer

Ok well remember 2/6 = 1/3, do you agree?

anonymous · Answer

yep

geerky42 · Answer

$x^{2/6}$ and not $\dfrac{x^2}{6}$?

Kind of weird for teacher to give you a problem with non-simplified fraction.

anonymous · Answer

wait um i think it would be x>14/36 right?

anonymous · Answer

Ok, so when you deal with such questions, don't be afraid of the sign! Treat it as if it were an = sign, just with some restrictions and what not, so for now we'll just treat as an equal sign as there is no restriction we have to follow (for now).

$$x ^{\frac{ 1 }{ 3 }} > \frac{ 7 }{ 6 } $$

so how do we cancel 1/3 in the exponent? By cubing both sides.

$$x > \left( \frac{ 7 }{ 6 } \right)^3$$

anonymous · Answer

Can you finish it off?

anonymous · Answer

@geerky42 the original problem was 1/3x-1/2>2/3

anonymous · Answer

Mhm

anonymous · Answer

wait i thought to cancel 1.3 you multiply it by 3?

geerky42 · Answer

$$\dfrac{1}{3}x-\dfrac{1}{2}>\dfrac{2}{3}$$?

anonymous · Answer

1/3*

anonymous · Answer

Can you draw or use latex for your original problem, kind of confusing.

anonymous · Answer

yes @geerky42

anonymous · Answer

Oh ok so how did you get $$x^{2/6}$$

anonymous · Answer

i made all the numbers with the same numerator.

anonymous · Answer

Or did I just imagine it wrong?

anonymous · Answer

i turned the problem to $$2/6 x-3/4>4/6$$

geerky42 · Answer

Oh, then you are on right track @chucho78 

You are stuck at $\dfrac{2}{6}x>\dfrac{7}{6}$

To isolate x, start by multiplying both sides by 6. then divide both sides by 2

anonymous · Answer

Ok that makes sense I thought it was the exponent..

anonymous · Answer

You need to specify these things and also not say yes when I write it out wrong :P

anonymous · Answer

thought you where using it as a fraction my bad.

anonymous · Answer

Np, so yeah multiply both sides by 6/2

anonymous · Answer

2/6*7/6 thats where im stuck @.@

anonymous · Answer

o ok

anonymous · Answer

but how would i multiply the right side?

geerky42 · Answer

Multipling both sides would get you $x>\dfrac{7}{6}\cdot\dfrac{6}{2}$

geerky42 · Answer

You can cancel 6 out.

anonymous · Answer

Thats the confusing part!

anonymous · Answer

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