(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 $|2\ln N - 11| < 3\ln N - 3$.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
On one pair of axes, sketch the graphs of $y = |2x - 11|$ and $y = 3x - 3$.
Solve the inequality $|2x - 11| < 3x - 3$.
Find the least integer $N$ that satisfies the inequality $|2\ln N - 11| < 3\ln N - 3$.
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” …