2025 VJC P1 Q1
2025 VJC P1 Q1
Using an algebraic method, solve the inequality \(\frac{4x-3}{4x^2+3x-1} \leq 1\)
Hence, find the set of values of \(x\) that satisfy \(\frac{4 \ln x - 3}{4(\ln x)^2 + 3 \ln x - 1} \leq 1\)
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.
Create a free account to practise similar questions.
Answer:First inequality: \(x<-1\) or \(x>\frac{1}{4}\). Logarithmic inequality: \(0<x<\mathrm e^{-1}\) or \(x>\mathrm e^{\frac{1}{4}}\).
Need help? Join our JC Math tuition classes.
Learn more