Question

resuelve las sgtes inecuaciones con valor absouto
|-3x+4|<1
|-x+5|>2
|(x^(2)-1)/(2)|>=1
-|-(6)/(5)|x-1||<=2

Answer 1

1.

$3x + 4 - 1 < 0$

$3x < - 3$

$x < - 1$

2.

$x + 5 > 2$

$x > 2 - 5$

$x > - 3$

3.

$| \frac{ {x}^{2} - 1 }{2} | > 1$

$| {x}^{2} - 1| > 2$

${x}^{2} + 1 > 2$

${x}^{2} > 2 - 1$

${x}^{2} > 1$

$\sqrt{ {x}^{2} } = \sqrt{1}$

${x}^{2} = 1$

4.