(a)[1]
Sketch the graph for $y = \lvert 2x + 3 \rvert$.
(b)[3]
Solve the inequality $3x + 8 > \lvert 2x + 3 \rvert$ for $x$.
Mathematics 9709 · AS & A Level · Algebra
Sketch the graph for $y = \lvert 2x + 3 \rvert$.
Solve the inequality $3x + 8 > \lvert 2x + 3 \rvert$ for $x$.
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Produce a graph sketch of $y=|2x+3|$ that is recognisable, with straight-line sections, symmetry, and the vertex shown in roughly the right position.” …