Question

1/6-2/3m> 1/4
1/6-2/3m> 1/4
@Mathematics

Answer 1

-8<m<0

Answer 2

multiply everything by 3m

3m/6-6m/3m>3m/4

m/2-2>3m/4

multiple everything by 4

2m-8>3m

-8>m

Answer 3

\[\frac{1}{6}-\frac{2}{3}m>\frac{1}{4}\] multiply by 12 to get
\[2-8m>3\] add 8m get
\[2>8m+3\] subtract 3 get
\[-1>8m\] divide by 8 get
\[-\frac{1}{8}>m\]

Answer 4

really getting some random answers this evening

Answer 5

i don't see where i went wrong

Answer 6

@satellite73 I know right :P @da1bearsfan I don't even know what I am doing..

Answer 7

@satellite73 how did u get multiply by 12 though?

Answer 8

is the question:

\[\frac{1}{6}-\frac{2}{3m}>\frac{1}{4}\]
OR
\[\frac{1}{6}-\frac{2}{3}m>\frac{1}{4}\]

in the first case, my answer is correct, and in the latter satellite is.

Answer 9

you cannot multiply by 3m because you don't know whether it is positive or negative

Answer 10

@ nico i multiplied by 12 so i didn't have to work with the fractions. you don't need to do that if you don't want

Answer 11

Ohh ok now i know my teacher never explained that to me

Answer 12

btw it really was
\[\frac{1}{6}-\frac{2}{3}m>\frac{1}{4}\] right?

Answer 13

yes it was satellite

Answer 14

you can subtract
\[\frac{1}{6} \] if you want and get
\[-\frac{2}{3}m>\frac{1}{4}-\frac{1}{6}\]
\[-\frac{2}{3}m>\frac{1}{12}\]
\[m<\frac{1}{12}\times -\frac{3}{2}\]
\[m<-\frac{1}{8}\]

Answer 15

when you multiply both sides by a negative number you have to switch the inequality. i find it easier to work without the fractions, that is why i multiplied EVERYTHING by 12