which inequality symbol produces an inequality with a finite number of nonsolutions

Answer 1

The inequality symbol that produces an inequality with a finite number of nonsolutions is the strict inequality symbol "<" or ">".

For example, the inequality x > 3 has a finite number of nonsolutions because there are only a limited number of values of x that are not greater than 3. Any value of x that is greater than 3 satisfies the inequality, while any value of x that is less than or equal to 3 does not.

On the other hand, the non-strict inequality symbol "<=" or ">=" produces an inequality with an infinite number of nonsolutions. For example, the inequality x >= 3 includes all values of x that are greater than or equal to 3, which is an infinite set of values.