Question

1) 3 |x| - 1 = 0
2) 2 |x| + 3 = 0
3) |3x + 2| - 4 = 0
4) |2x - 1| + 7 = 8

Answer 1

$1)3 |x| - 1 = 0 \ |x| = frac{1}{3} \ x1 = frac{1}{3} \ x2 = - frac{1}{3}$
$2)2 |x| + 3 = 0 \ |x| = - frac{3}{2} \ x = - frac{3}{2} \ x = frac{3}{2}$
$3) |3x + 2| - 4 = 0 \ |3x + 2| = 4 \ 1)3x + 2 = 4 \ x = frac{2}{3} \ 2) |3x + 2| = - 4 \ x = - 2$
$4) |2x - 1| + 7 = 8 \ |2x - 1| = 1 \ 1)2x - 1 = 1 \ x = 1 \ 2)2x - 1 = - 1 \ x = 0$