Concept — Disequazione irrazionale.
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13·17·27·32
Linked atoms
29 linked atoms.
13 Radicali ed equazioni irrazionali
- Inequality with the root on the greater side
- Inequality with the root on the smaller side
- Inequality with two roots
- Non-strict inequality
- Type I — root greater
- Type II — root smaller
17 Disequazioni irrazionali
- A complete example with the sign line
- A reminder about the existence conditions
- Application — lines at an assigned distance
- Decision map — what type of inequality am I facing?
- Distances in analytic geometry
- Example — distance in a pencil of lines
- Example — root larger than a line
- Example — root smaller than a line
- Example — two radicals compared
- Recognising always-non-negative sums
- Squaring without splitting into cases
- The method for the larger root — Type II
- The method for the smaller root — Type I
- The sign-table strategy
- Worked exercise — Fractional inequality with a radical
- Worked exercise — Root versus absolute value
- Worked exercise — Sum of two radicals
- Worked exercise — Type I with a strict root
- Worked exercise — Type II with a semicircle