Question

Inequaçao do 1 grau. 5x-7/3x+2>2

Answer 1

(5x-7)/(3x+2)>2

(5x-7)/(3x+2) -2 >0

[(5x-7) -2(3x+2)]/(3x+2) >0

[5x-7-6x-4]/(3x+2) > 0

(-x-11)/(3x+2) >0

q=-x-11   ...raiz ...-x-11=0  ...x=-11 ......q=ax+b  ...a=-1<0
q+++++++++++(-11)--------------------

p=3x+2  ...raiz ...3x+2=0 ...x=-2/3 .....pax+b ...a=3>0
p--------------------(-2/3)+++++++++++

Estudo de Sinais:

q++++++++(-11)------------------------------------
p------------------------------(-2/3)+++++++++++
q/p------------(-11)+++++(-2/3)------------------

Resposta   -11 < x < -2/3