Question

Sa se determine nr reale care verifica inegalitatile: |4-6x|<0; |x|<3

Answer 1

$|4 - 6x| < 0$

$1)4 - 6x < 0$

$- 6x < - 4 \: | \div ( - 2)$

$3x > 2$

$x > \frac{2}{3}$

$x \: \in \: ( \frac{2}{3} , + \infty )$

$2)6x - 4 < 0$

$6x < 4 \: | \div 2$

$3x < 2$

$x < \frac{2}{3}$

$x \: \in \:( - \infty , \frac{2}{3} )$

$|x| < 3$

$|x| = | - x|$

$| - 2| = | + 2| = 2 < 3$

$| - 1| = | + 1| = 1 < 3$

$|0| = 0 < 3$