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I was trying to solve $$\frac{4}{x - 2} > 5$$. While writing the question I mistakenly wrote a digit other than 5 and solved the inequality and got $$2 < x < 4$$. What digit did I write possibly?
Correct Answer: 2
If the digit written was $$k > 0$$, then $$\frac{4}{x - 2} > k$$ needs $$x > 2$$ and $$x - 2 < \frac{4}{k}$$, giving $$2 < x < 2 + \frac{4}{k}$$. For the upper limit to be 4, $$\frac{4}{k} = 2$$, so the digit was 2.
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