Solving Quadratic Inequalities
Solving Quadratic Inequalities
TGM Original Questions
When solving a quadratic inequality a graphical method is used to find the range of values of \(x\).
Range of values of \(x\) | ||
|---|---|---|
\( (x - p)(x - q) < 0 \) | \( p < x < q\) | |
\( (x - p)(x - q) > 0 \) | \(x < p\) or \(x > q \) | |
\( (x - p)(x - q) \leq 0 \) | \( p \leq x \leq q \) | |
\( (x - p)(x - q) \geq 0 \) | \(x\le p\) or \(x\ge q\) |
The table assumes two distinct real roots \(p<q\).
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