An inequality compares mathematical quantities using an ordering, such as or for real numbers. A strict inequality excludes equality; a non-strict inequality allows it. For example, is strict, while is true because equality is allowed. Adding the same real number preserves either comparison; multiplying by a negative real number reverses its direction.
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In mathematics, an inequality is a relation that shows the relative size or order of two values. It indicates that one value is greater than, less than, greater than or equal to, or less than or equal to another value. Inequalities are an essential part of various mathematical concepts and applications, including algebra, calculus, and optimization. There are several types of inequalities, often denoted by specific symbols: 1. **Less than (<)**: Indicates that one quantity is smaller than another.