Question

Please Help :)
Solve the Inequality:-
\[\Huge{\color{orange}{\frac{6x-5}{4x+1}<0}}\] :D

Answer 1

Ok so here i go :
\[\Huge{\color{orange}{\frac{6x-5}{4x+1}<0}}\]

Multiply both sides by 4x + 1 ,,, can we start like this @experimentX ?

Answer 2

solve this
\[\Huge{\color{orange}{\frac{6x-5}{4x+1} = 0}}\]
\[\Huge \color{orange}{ a x = b }\]
Put
\[\Huge \color{orange}{ a x < b }\]

Answer 3

yep!!

Answer 4

ok thanks so wht r u getting @TheViper after multiplying both sides by 4x + 1

Answer 5

6x-5<0

Answer 6

Ok correct :

so add 5 both sides. . wht r u getting ?

Answer 7

Ok now I can solve thanx everyone:)

Answer 8

nice to hear .. good work @TheViper

Answer 9

^_^

Answer 10

is the answer -1/4 < x < 5/6

Answer 11

@mathslover @experimentX
Brothers, attention plz , umm...., as we don't know the value of 'x' so we also don't know the value of the value of '4x+1' that it is negative or positive.So we can't multiply it with 0 becoz if it is negative it will reverse the sign.
Am I correct??

Answer 12

hmm ... can you plug that inequality into wolf?

Answer 13

Plz big bro u plug I don't know very much to plug any ques in wolfy :)

Answer 14

I think ans should be this:-\[\Large{x \epsilon(-\frac{1}{4},\frac{5}{6})}\]

Answer 15

on that's a complete unexpected result
http://www.wolframalpha.com/input/?i=%286x%E2%88%925%29%2F%284x%2B1%29%3C0

Answer 16

I can't understand wht wolfy says, plz u tell :)
@matricked has given the same answer as wolfy:)

Answer 17

well ... see below, it does

cross multiply it and get the values. well i didn't know that either ...