In the inequality x > 8, how many solutions are there?

The inequality x > 8 indicates that x can take on any value greater than 8. This means that there is no upper limit to the values that x can assume; x can be 8.1, 9, 10, 100, or even larger. Since the values of x form a continuous range that extends infinitely to the right on the number line, there are actually infinitely many solutions that satisfy this inequality. The fact that the inequality allows for an uncountable number of real numbers greater than 8 confirms that the number of solutions is infinite.