Question

Need help with inequalities...
So i have a hard time reading the inequality charts when i make them heres an example if you help you will be RELEIVING MUCH OF MY DIFFICULTIES:

2x/1-x greater or equal to 0

Answer 1

\[\frac{ 2x }{ 1-x }\ge 0\]

Answer 2

SOMEONE PLEASE HELP

Answer 3

what a mess

Answer 4

cant read?

Answer 5

but you made the chart, so lets read it

Answer 6

one factor is \(2x\) which is 0 if \(x=0\)
if \(x>0\) it is positive, and if \(x<0\) it is negative, so that is why you have this

Answer 7

indicating only that the factor \(2x\) is positive to the right of 0 and negative to the left

Answer 8

now \(1-x\) is zero if \(x=1\) and if \(x>1\) then \(1-x<0\) whereas if
\(x>1\) then \(1-x\) is negative. we add that to the chart