Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

(a)[1]

Sketch the graph for $y = \lvert 2x + 3 \rvert$.

(b)[3]

Solve the inequality $3x + 8 > \lvert 2x + 3 \rvert$ for $x$.

Worked solution & mark scheme

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.

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