Inequalities are math sentences that compare values that are not equal. Instead of an equals sign (=), they use symbols like > (greater than), < (less than), ≥ (greater than or equal to), or ≤ (less than or equal to). Think of it like this: an equation says something is a specific value, while an inequality says something is within a range of values.
For example, if we say $x > 5$, it means $x$ can be any number bigger than 5, but not 5 itself. If we say $y \le 10$, it means $y$ can be any number less than or equal to 10.
Match the term with its definition:
| Term | Definition |
|---|---|
| 1. Inequality | A. A value that, when substituted for a variable, makes the inequality true. |
| 2. Greater Than (>) | B. A mathematical statement that compares two expressions using inequality symbols. |
| 3. Less Than (<) | C. A symbol indicating a value is smaller than another. |
| 4. Solution Set | D. A symbol indicating a value is larger than another. |
| 5. Greater Than or Equal To ($\ge$) | E. A symbol indicating a value is larger than or equal to another. |
(Answers: 1-B, 2-D, 3-C, 4-A, 5-E)
Complete the sentences below using the correct inequality symbols or words:
An inequality uses symbols like ______, ______, $\ge$, and $\le$ to show the relationship between two values. The statement $x > 3$ means that x is ______ than 3. If we say $y \le 7$, this means that y is ______ than or ______ to 7.
(Answers: >, <, greater, less, equal)
Explain, in your own words, how an inequality is different from an equation. Give an example of each.
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