Question

Mod X is greater than or equal to 3 ​

Answer 1

$\rule{300}{1.05}$

Answer:

$\left|x\right|\ge \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-3\quad \mathrm{or}\quad \:x\ge \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-3]\cup \:[3,\:\infty \:)\end{bmatrix}$

Step-by-step explanation:

$\rule{300}{1.05}$

$\left|x\right|\ge \:3$

$\rule{300}{1.05}$

$\mathrm{Apply\:absolute\:rule}:\quad \mathrm{If}\:|u|\:\ge \:a,\:a\:>\:0\:\mathrm{then}\:u\:\le \:-a\:\quad \mathrm{or}\quad \:u\:\ge \:a$

$x\le \:-3\quad \mathrm{or}\quad \:x\ge \:3$

$\rule{300}{1.05}$