Question

Rezolvati in Z inecuatia:
3(x+IxI)-6≥0

Answer 1

$3(x+|x|)-6 \geq 0 \\ \\ 3x+3|x|-6 \geq 0 \\ \\ 3|x| \geq 6-3x \\ \\ |x| \geq 2-x \\ \\ \left \{ {{x \geq 2-x} \atop {x \geq x-2}} \right. \\ \\ \left \{ {{2x \geq 2} \atop {0 \geq -2} \right. \\ \\ x \geq 1$