What is when two inequalities are connected by the words and or or?

When two inequalities are connected by the Word "and," it indicates that both conditions must be satisfied simultaneously for a solution to be valid. Conversely, using "or" means that satisfying either inequality is sufficient for a solution. This distinction helps in determining the range of values that meet the criteria set by the inequalities. For example, in a compound inequality like (x < 5 \text{ and } x > 1), (x) must be between 1 and 5; whereas in (x < 5 \text{ or } x > 10), (x) can be less than 5 or greater than 10.