Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

(a)[1]

Sketch the graph of $y = |2x - 3|$.

(b)[2]

Solve the inequality $3x - 1 < |2x - 3|$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Draw a graph in the correct location, showing symmetry, with vertex at $(\tfrac{3}{2},0)$ and a line passing through $(0,3)$; the straight lines should extend into negative $x$.

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