SATMathematics Practice Test 1

If the value of $|n−1|+1$ is equal to 0, then $|n−1|+1=0$. Subtracting 1 from both sides of this equation gives $|n−1|=−1.$ The expression $|n − 1|$ on the left side of the equation is the absolute value of $n − 1$,and the absolute value can never be a negative number. Thus $|n−1|=−1$ has no solution. Therefore, there are no values for n for which the value of $|n−1|+1$ is equal to 0.Choice A is incorrect because $|0−1|+1=1+1=2$,not $0$. Choice B is incorrect because $|1−1|+1=0+1=1$,not $0$. Choice C is incorrect because $|2−1|+1=1+1=2$,not $0$.