P1.1.9 - Solving linear and quadratic inequalities

Solve linear and quadratic inequalities, including comparisons between a quadratic expression and a linear expression.

Use solving linear and quadratic inequalities to connect the rule to the data and decision in the question.

This matters because solving linear and quadratic inequalities determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply solving linear and quadratic inequalities to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Solving linear and quadratic inequalities is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.