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An inequality is like an equation, but instead of an equals sign, it uses an inequality symbol to show that one side is greater or smaller than the other. Inequalities are a core part of the AQA GCSE Mathematics specification and are tested on both tiers. Higher tier students also need to handle quadratic inequalities and represent solutions on graphs.
| Symbol | Meaning | Example |
|---|---|---|
| < | Less than | x < 5 |
| > | Greater than | x > 3 |
| <= | Less than or equal to | x <= 7 |
| >= | Greater than or equal to | x >= -2 |
An equation such as x + 3 = 7 has one solution (x = 4). An inequality such as x + 3 < 7 has a range of solutions (x < 4 — meaning any value less than 4).
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