2013 VJC P1 Q1

2013 VJC P1 Q1

6 marks
  1. Without using a calculator, solve the inequality \(\frac{15-11x}{{{x}^{2}}-6x+9}\le 1\). [4]
  2. Deduce the range of values of \(x\) that satisfies \(\frac{15-11\ln x}{{{\left( \ln x \right)}^{2}}-6\ln x+9}\le 1\).[2]

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Answer:(a) x ≤ -6 or 1 ≤ x < 3 or x > 3; (b) 0 < x ≤ e⁻⁶ or e ≤ x < e³ or x > e³

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