Solve the inequality |10x - 2| > 0.

The inequality |10x - 2| > 0 is true for all real values of x.

To solve this inequality, we need to understand what it means for an absolute value to be greater than zero. Recall that the absolute value of a number is always non-negative, and is equal to the number itself if the number is positive, and the negative of the number if the number is negative. Therefore, |10x - 2| > 0 means that the absolute value of 10x - 2 is strictly greater than zero, which is always true for any real value of x.

To see why this is true, consider the two cases where 10x - 2 is positive and negative. If 10x - 2 is positive, then its absolute value is equal to itself, which is greater than zero. If 10x - 2 is negative, then its absolute value is equal to the negative of itself, which is also greater than zero. Therefore, the inequality |10x - 2| > 0 is true for all real values of x.

In summary, the solution to the inequality |10x - 2| > 0 is the set of all real numbers. This means that the inequality is always true, regardless of the value of x.