Question

Ache os valores reais x que satisfaçam x-1/3-x ∠2

Answer 1

Resposta:

x-1/3-x ∠2  se for (x-1)/(3-x) < 2

(x-1)/(3-x) -2 < 0

(x-1-2*(3-x))/(3-x) < 0

(x-1-6+2x)/(3-x) < 0

(3x-7)/(3-x)<0

p=3x-7 ==>raiz=7/3  ...a=3>0 ==> crescente

p-------------------------------(3/7)++++++++++++++++++++++++++

q=3-x ==> raiz = 3>0 ==> a=-1 decrescente

q+++++++++++++++++++(3)----------------------------------------

Estudo de Sinais:

p------------------(3/7)+++++++++++++++++++++++++

q+++++++++++++++++++++(3)---------------------------

p/q---------------(3/7)++++++(3)----------------------------

3/7 >  x  >  3  é a resposta