13:37 (watch on YouTube, opens in a new tab)TMUA: Sign Analysis — Inequalities Without Graph Sketching (watch on YouTube, opens in a new tab)
How can you solve an inequality without sketching the whole graph? A follow-up to "Making the Most of the Final Few Days": sign analysis through three worked questions, from algebraic fractions to a trigonometric inequality — where an expression can change sign, why some factors become zero without changing sign, how repeated factors affect the analysis, keeping track of excluded values and endpoints, and finding the total length of the intervals that satisfy an inequality. The aim is to understand what controls the sign of an expression, giving you a method you can apply across different questions.
- Inequalities
- Sign analysis
- Algebraic fractions
- Trigonometry
Watch on YouTube →: TMUA: Sign Analysis — Inequalities Without Graph Sketching (opens in a new tab)