Solve |a| = -6
The absolute value of a number is always non-negative, so it cannot be equal to a negative number like -6.
Therefore, there is no solution to the equation |a| = -6.
The equation |a| = -6 has no solution in the set of real numbers. This is because the absolute value of any number is always non-negative (i.e., it is either zero or positive). Therefore, it is not possible for the absolute value of a number to equal a negative value.
To explain how to reach this conclusion, we can use the definition of absolute value. The absolute value of any number, denoted by |x|, is the distance between the number x and zero on the number line. This means that the absolute value of a number is always a positive value.
In the given equation |a| = -6, we are trying to find a value for 'a' such that its absolute value is -6. However, no such value exists because no number can be a distance of -6 units away from zero.