For what value of x is |x−2| + 1 equal to 0?

A) 0

B) 1

C) 2

D) There is no such value of x.

Solution:

Choice D is correct.

If |x−2| + 1 = 0

Then |x−2| = -1

Since, the LHS is an absolute value of x−2, which can never be negative

Hence, |x−2| = -1 has no solution.

Therefore, there exists no value x for which |x−2| + 1 = 0.