$2 \cdot 80$ The number of real solutions to the equation $|x-2|+x-2=0$ is
(A) 1.
(B) 2.
(C) 3.
(D) More than 4.
(China Sichuan Province Junior High School Mathematics Competition, 1990)
[Solution] When $x \leqslant 2$, the original equation becomes
$$
(2-x)+(x-2) \equiv 0 \text {. }
$$

Thus, the equation has infinitely many solutions.
Therefore, the correct choice is $(D)$.