Mathematics 9709 · AS & A Level · Logarithmic and exponential functions

Logarithmic and exponential functions — practice question

(a)[2]

On one pair of axes, sketch the graphs of $y = |2x - 11|$ and $y = 3x - 3$.

(b)[3]

Solve the inequality $|2x - 11| < 3x - 3$.

(c)[2]

Find the least integer $N$ that satisfies the inequality $|2\ln N - 11| < 3\ln N - 3$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: V-shaped graph drawn with its vertex on the positive $x$-axis

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