# Modulus inequality question

For $$x|x - 2| \ge 1$$,

since $$|x - 2| \ge 0$$, and for $$x|x - 2| \ge 1$$,
so $$x > 0$$

Since $$x > 0$$, can I multiply the x inside to make it $$|{x^2} - 2x| \ge 1$$ ??

Or can you teach me your method of solving this question?
Thanks.