Inequality question below.

Question

anonymous · Answer

$$\left(\begin{matrix}2 \ 3\end{matrix}\right)x + 9 \ge \left(\begin{matrix}1 \ 3\end{matrix}\right)x +12$$

asnaseer · Answer

I haven't seen an inequality question like this one before - looks interesting...

asnaseer · Answer

ok, so first I would collect like terms.

asnaseer · Answer

so move the terms involving x to the left-hand-side, and all others to the right-hand-side

anonymous · Answer

I would put |dw:1345402287279:dw|

anonymous · Answer

so x=9?

anonymous · Answer

YEAH IT DOES!

asnaseer · Answer

hang on - are those supposed to be fractions?
i.e. is your question:$$\frac{2}{3}x+9\ge\frac{1}{3}x+12$$

anonymous · Answer

well x >
          -    9

anonymous · Answer

yeah, that's my question.

asnaseer · Answer

ok - the way you wrote that it looks like an inequality with column vectors

asnaseer · Answer

which is why I said I haven't seen one like it before :)

anonymous · Answer

whoops! sorry! haha. But it 9 correct?

asnaseer · Answer

yes, answer comes out as: $x\ge9$

anonymous · Answer

Thank you for the help!

asnaseer · Answer

you should probably change your user name to algebraexpert now :)

anonymous · Answer

haha maybe.....I'm not quite sure I feel confident enough to do that. ;)

asnaseer · Answer

he he - you will be - very soon in my opinion :)

anonymous · Answer

thank you! you really helped this year...

asnaseer · Answer

yw - I'm glad I was able to explain things clearly enough to you. :)