For the fractional inequality in $x$ $$1 + \frac { k } { x - k } \leqq \frac { 1 } { x - 1 }$$ Find the value of the natural number $k$ such that the number of integers $x$ satisfying the inequality is 3. [3 points]
For the fractional inequality in $x$
$$1 + \frac { k } { x - k } \leqq \frac { 1 } { x - 1 }$$
Find the value of the natural number $k$ such that the number of integers $x$ satisfying the inequality is 3. [3 points]