An inequality using any of the inequality symbols has an infinite number of solutions. An inequality using all but one of the inequality symbols also has an infinite number of nonsolutions. Which inequality symbol produces an inequality with a finite number of nonsolutions?

Question

Note: you will find the option to add inequality symbols in the Comparison (<)
keyboard.

(1 point)
The
symbol.

Answer 1

The inequality symbol that produces an inequality with a finite number of nonsolutions is the "greater than" symbol (>) or the "less than" symbol (<).

For example, the inequality \( x > 5 \) has all values of \( x \) greater than 5 as solutions, but only the specific value \( x = 5 \) (and all values less than 5) would be nonsolutions, leading to a finite number of nonsolutions. In general, inequalities of the form \( x < a \) or \( x > a \) have all numbers in a given range as solutions and thus a finite number of nonsolutions.