Question

Determine o conjunto solução da inequação produto:

(3x-2). (x+1).(3-x) < 0​

Answer 1

Resposta:

(3x-2)* (x+1)*(3-x) < 0​

p=3x-2   ..raiz=2/3  ...a=3 >0

p-----------------------(2/3)+++++++++++++++++++++++++++++++

q=x+1 ...raiz=-1 ...a=1>0

q-----------------------(-1)++++++++++++++++++++++++++

r=3-x  ..raiz=3  ...a=-1<0

r+++++++++++++++(3)-----------------------------------------------------

Estudo de sinais:

p-----------------------(2/3)+++++++++++++++++++

q--------------(-1)++++++++++++++++++++++++++

r++++++++++++++++++++++++(3)------------------

p*q*r+++++(-1)----(2/3)++++++(3)------------

-1 < x<2/3  U x > 3

ou

(-1;2/3)  U (3 ,∞)