SATMathematics Practice Test 1

Question : 28 of 58

Marks: +1, -0

For what value of n is

|n −1|+1

equal to

0

Solution:

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

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