Question

de o conjunto solução da inequação
(1-2x)(3+4x)/(4-x)>0​

Answer 1

Resposta:

(1-2x)(3+4x)/(4-x)>0​      .....x≠4

q=1-2x   ==>raiz =1/2   ...coef a< 0 decrescente

q++++++++++++++(1/2)----------------------------------

p=3+4x ==> raiz=-3/4 ..coef a>0 crescente

p------------------------------(-3/4)+++++++++++++++

t=4-x ==> raiz =4 ..coef a<0 decrescente

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

Estudo de Sinais

q++++++++++++++++++(1/2)----------------------------

p-------------(-3/4)++++++++++++++++++++++++++

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

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

-3/4 <  x < 1/2  U  x > 4

ou

(-3,4) U (4 , ∞)