Describe and correct the error to solving the equation.
|2x - 1| = -9
2x - 1 = -9
2x = -8
x = -4
or 2x - 1 = -(-9)
2x = 10
x = 5
The error in solving the equation |2x - 1| = -9 is that the absolute value of a number cannot be equal to a negative number.
To correct the error, we need to recognize that the equation |2x - 1| = -9 has no solution.