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Inequalities & absolute value formulas
6 formulas for Inequalities & absolute value, from the Algebra section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| AM ≥ GM | (a + b)/2 ≥ √(ab) | a, b ≥ 0 |
| Cauchy–Schwarz | (Σaᵢbᵢ)² ≤ (Σaᵢ²)(Σbᵢ²) | |
| Absolute value | |x| < a ⇔ −a < x < a | |
| Absolute value | |x| > a ⇔ x < −a or x > a | |
| Triangle inequality | |a + b| ≤ |a| + |b| | |
| x + 1/x | x + 1/x ≥ 2 for x > 0 |
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