The diagram shows the curve C C\,C with equation y=3+2x−x2y = 3 + 2x - x^2y=3+2x−x2 and the line l l\,l with equation x+y=3x + y = 3x+y=3.
Use the supplied axes to indicate, with shading and the label RRR, the simultaneous solution of 0⩽y⩽3+2x−x20 \leqslant y \leqslant 3 + 2x - x^20⩽y⩽3+2x−x2 and x+y⩾3x + y \geqslant 3x+y⩾3
Solve the curve-line system and report both intersection points as ordered pairs.
8 exam-style questions on OCR A Level Maths 1.2.7 Inequalities. Each one has a worked solution and a mark scheme showing where the marks go.