Sure! Here are the definitions for the terms you've requested:
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Inequality: An inequality is a mathematical statement that compares two expressions and shows that they are not equal. It uses inequality symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).
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Compound Inequality: A compound inequality consists of two or more inequalities that are connected by the words "and" or "or." For example, \(a < x < b\) is a compound inequality that indicates that \(x\) is greater than \(a\) and less than \(b\).
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Equivalent: In mathematics, two expressions, equations, or inequalities are said to be equivalent if they have the same value or solution set. For example, the inequalities \(x < 5\) and \(x ≤ 4.9\) are equivalent because they represent the same set of values.
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Greater Than: The term "greater than" is used to describe a relationship in which one quantity is larger than another. In mathematical notation, it is represented by the symbol >. For example, \(7 > 3\) means that 7 is greater than 3.
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Less Than: The term "less than" describes a relationship in which one quantity is smaller than another. It is represented by the symbol <. For example, \(2 < 5\) indicates that 2 is less than 5.
If you have any further questions or need additional information, feel free to ask!