How do you solve abs(x-1)+17=6?

1 Answer
Apr 2, 2015

There is no value of x to satisfy this equation.

abs(x-1) = -11

As we know, absolute value will always return a non-negative value.

Such that:

if c >= 0, abs(c) = c

if c < 0, abs(c) = -c

So either way the right-hand part of the equation where the absolute value is equal to is always be positive (or zero).

Since -11 is a negative number, there is no such x to satisfy the equation because absolute value will never be equal to a negative number.

The result is: x in {}