Question

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

Answer 1

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 {}`