Question

Resolva a inequação abaixo:
2/ x ao quadrado menor ou igual a 1

Answer 1

Resposta:

2/x² ≤ 1

2/x² -1  ≤ 0

(2-x²)/x² ≤ 0

q = 2-x²     ==> raízes  x'=√2   e x''=-√2     .......a=-1 < 0

q----------------------------(-√2)++++++++++++++(√2)------------------------------

p = x² ==> raízes x'=x''=0   ....a=1 >0

p+++++++++++++++++++(0)++++++++++++++++++++++++++++

Estudo de sinais:

q------------------(-√2)++++++++++++++(√2)------------------------------

p+++++++++++++++++++++(0)++++++++++++++++++++++++++++

q/p---------------(-√2)++++++(0)++++++(√2)------------------------------

(-∞,-√2]  U  [√2,+∞)  é a resposta