Option C is correct option.
Step-by-step explanation:
We need to find the solution of [tex]\frac{x-1}{1-x}<0[/tex]
The given inequality becomes undefined when x = 1 because the denomiator is: 1-x and if x = 1 then it becomes 1-1 = 0 and anything divided by zero is undefined.
So, all values other than 1 are included in the solution of the given inequality.
So, solution is: x<1 or x>1 but x≠1
So, Option C is correct because all numbers are included in number line except 1. An unfilled circle on 1 shows that it is not included in the solution. Rest of numbers are included.
Option C is correct option.
Keywords: Solving inequalities
Learn more about Solving inequalities at:
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brainly.com/question/1465430
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