(i)[4]
Solve the inequality $|3x - 5| < |x + 3|$ for $x$.
(ii)[2]
Hence determine the greatest integer $n$ for which the inequality $|3^{0.1n+1} - 5| < |3^{0.1n} + 3|$ holds.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State, or make clear by implication, the non-modular inequality $(3x-5)^2<(x+3)^2$; alternatively, give the corresponding pair of linear inequalities” …
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