MCQ
If $|x-3|=x-3$ then $x \in \ldots$
- ✓$[3, \infty)$
- B$\mathrm{R}$
- C$(-\infty, 3]$
- D$(-3,3)$
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Then, which of the following statements are true?
$I.$ $g$ has exactly two distinct real roots.
$II$. $g$ can have more than two distinct real roots.
$III$. There exists a real number $\alpha$ such that $g(x) \geq \alpha$ for all real $x$