Question

1. |4х-2|=6
2. ||2х+3|-5|=3
3. |3х+5|>7

Answer 1

1.

$4x=2 \pm 6$

$x= \frac{1}{2} \pm \frac{3}{2}$

2.

$|2x+3|-5=\pm 3$

$|2x+3|=5 \pm 3$

а) $|2x+3|=8; \ 2x+3=\pm 8; 2x=\pm 8 -3; \ x=\pm4 -0.75$

б) $|2x+3|=2; \ 2x=\pm 2-3; \  x=\pm 1-1.5$

3. $(3x+12)(3x-2)>0$

$(x+4)(x-\frac{2}{3})>0$

$x<-4; x>\frac{2}{3}$