Question

X-1 / x-1 = 1
What is x?

Answer 1

`\large\boxed{x\in\mathbb{R}-\{1\}}\to\text{any real number except 1}`

Explanation:

`(x-1)/(x-1)=1\\\\\text{Domain:}\ x-1\\eq0\qquad\text{add 1 to both sides}\\\\x\\eq1\\\\\text{We know:}\ (a)/(a)=1\ \text{for any real number except 0}.\\\\\text{Therefore}\ x\ \text{is any real number except 1}.`