Odpowiedź:
x + 1 > √2x
x - √2x > - 1
x(1 - √2) > - 1
x < - 1/(1 - √2)
x < - (1 + √2)/[(1 -√2)(1 + √2)]
x < - (1 + √2)/(1 -2)
x < - (1 + √2)/(- 1)
x < ( 1 + √2 )
[tex]x+1>\sqrt[2]{2}*x\\ x-\sqrt[2]{2}*x>-1\\x(1-\sqrt{2})>-1\\x<-\frac{1}{1-\sqrt2}\\x<\frac{1}{\sqrt2-1} \\x<\frac{\sqrt2+1}{2-1}\\x< \sqrt2+1[/tex]
Szczegółowe wyjaśnienie:
