Question

If x satisfies $|x-1|+|x-2|+|x-3|\ge 6$, then

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

$|x-1|+|x-2|+|x-3|\ge 6$
consider $f\left(x\right)=|x-1|+|x-2|+|x-3|$

Graph of $f\left(x\right)$ shows $f\left(x\right)\ge 6$ for $x\ge 4$