(i)[4]
Solve for $x$ in the inequality $|2x - 5| < |x + 3|$.
(ii)[2]
Hence determine the largest integer $y$ that satisfies the inequality $|2\ln y - 5| < |\ln y + 3|$.
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 indicate the non-modulus inequality $(2x-5)^2<(x+3)^2$ or an equivalent equation or pair of linear equations” …
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