Solve the inequality |6x - 3| > 0.

The inequality |6x - 3| > 0 is always true for any value of x.

To solve this inequality, we need to understand what the absolute value means. The absolute value of a number is its distance from zero on the number line. Therefore, |6x - 3| is the distance between 6x - 3 and zero on the number line.

Since the distance between any number and zero is always positive, the inequality |6x - 3| > 0 is always true for any value of x. This means that there are no solutions to this inequality.

In other words, any value of x will satisfy the inequality |6x - 3| > 0. This may seem trivial, but it is an important concept to understand when dealing with absolute value inequalities.

To summarise, the inequality |6x - 3| > 0 is always true for any value of x. This means that there are no solutions to this inequality.