A system of inequalities contains two or more inequalities.
A system of inequalities, by definition, is a set containing multiple inequalities. It is used to find solutions that satisfy all the inequalities simultaneously. If there's only one inequality, it's simply called an inequality, not a "system."
Here's a breakdown to clarify the concept:
- What is an Inequality? An inequality is a mathematical statement that compares two expressions using symbols like < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
- What is a System of Inequalities? A system of inequalities is a collection of two or more inequalities involving the same variables. The solution to a system of inequalities is the set of all points that satisfy all the inequalities in the system.
Therefore, a system must have more than one (i.e., two or more) inequalities to be considered a system.
