in inequality using any of the inequality symbols has an infinite number of solutions. An inequality using all but one of the inequality symbols produces an inequality with a finite number of solutions

For example, consider the inequality symbols <, >, ≤, and ≥. If we use all four symbols in an inequality, such as x < 5 and x > 3, there are an infinite number of solutions for x that satisfy both conditions. However, if we use only three of the symbols, such as x < 5, x > 3, and x ≤ 4, there is a finite number of solutions for x that satisfy all three conditions.

In general, the more inequality symbols we use in an inequality, the more flexible and broad the range of solutions will be. Conversely, the fewer inequality symbols we use, the more restrictive and narrow the range of solutions will be.