P1.1.7 - Interpreting linear and quadratic inequalities

Interpret linear and quadratic inequalities graphically and algebraically, including inequalities with brackets or fractions reducible to linear or quadratic form; identify solution ranges from intersections of curves and lines.

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

This matters because interpreting 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 interpreting linear and quadratic inequalities to one small, clearly defined case, show the key step or comparison, and explain the result in words.

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