(i)[3]
Solve $|2x - 7| < |2x - 9|$.
(ii)[2]
Hence find the largest integer $n$ that satisfies the inequality $|2\ln n - 7| < |2\ln n - 9|$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply the non‑modular inequality $(2x-7)^2 < (2x-9)^2$ or an equivalent equation or linear equation (with signs of $2x$ different)” …
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