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Mathematics 8 Online
OpenStudy (anonymous):

Solve x-5/3x<3 ?

OpenStudy (anonymous):

-2/3x ?

OpenStudy (jhannybean):

Good.

OpenStudy (triciaal):

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OpenStudy (jhannybean):

Oh, right. Is your equation: \[x-\frac{5}{3}x > 3\]Or \[\frac{x-5}{3x}>3\]

OpenStudy (anonymous):

The second one is my equation I just am not sure how to make the fractions sorry

OpenStudy (jhannybean):

Alright, and sorry, i meant to write less than.

OpenStudy (jhannybean):

So \[\frac{x-5}{3x}<3\]

OpenStudy (jhannybean):

Mutiply the right side of your equation by \(3x\) to get rid of the fraction.

OpenStudy (anonymous):

so then x-5<9x ?

OpenStudy (jhannybean):

Yes. Now we want to gather all the x's on one side, so subtract \(-x\) from both sides

OpenStudy (anonymous):

-5<9 ?

OpenStudy (jhannybean):

Not quite, what is 9x-x?

OpenStudy (anonymous):

ohhh, 8x

OpenStudy (jhannybean):

good :) So we're left with \(-5 < 8x\)

OpenStudy (jhannybean):

Now to solve for x, we divide both sides of our equation by 8. what does that leave us with?

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