Question

resolva a inequação:
$\frac{(1 - 2x \times (3 + 4 x)}{4 - x} > 0$
​

Answer 1

Solução:

se for (1-2x)*(3+4x)/(4-x) >0

(1-2x)*(3+4x)/(4-x) >0

p=(1-2x)  .....a=-2< 0 .....raiz=1/2

p+++++++++++++(1/2)-------------------------------

q=3+4x  ...a=4>0 ...raiz=-3/4

q------------------------------(-3/4)++++++++++++++++++

t=4-x  ..............a=-1<0    ...raiz = 4

t+++++++++++++++++(4)----------------------------------------

Estudo de sinais:

p+++++++++++++++++++(1/2)-------------------------------------

q-----------------(-3/4)+++++++++++++++++++++++++++++++

t+++++++++++++++++++++++++++++++++++(4)---------------

p*q/t-----------(-3/4)+++++(1/2)--------------------(4)++++++++++

-3/4  <   x  < 1/2    U   x > 4   é a resposta