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

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

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