Answer
True
Work Step by Step
Factoring $-1$ out of the numerator so that the resultant expression becomes equal to the denominator, we obtain:
$\frac{2-x}{x-2}$
=$\frac{-1(x-2)}{(x-2)}$
=$\frac{-1(1)}{(1)}$
=$-1$
Therefore, the statement is true.