Question

conjunto de todas as solusoes reais 3x/(4x-1)<1

Answer 1

Resposta:

3x/(4x-1)<1

3x/(4x-1)-1 < 0

(3x-4x+1)/(4x-1) < 0

(-x+1)/(4x-1) < 0

p=-x+1 ..raiz=1..a=-1<0 é decrescente

p+++++++++++++++++(1)----------------------------------

q=4x+1 ...raiz=-1/4  ...a=4>0  é crescente

q---------------------------(1/4)+++++++++++++++++++++++++

Estudo de sinais:

p+++++++++++++++++(1)----------------------------------

q-------------(1/4)++++++++++++++++++++++++++++

p/q----------(1/4)+++++(1)----------------------------------

resposta:          1/4 > x > 1