2025 TMJC P2 Q1

2025 TMJC P2 Q1

6 marks

Without using a calculator, solve the inequality
\[\frac{x + 5}{-2x^2 + 5x + 3} < 1.\][4]
Hence, solve exactly the inequality
\[\frac{\cos x + 5}{-2\cos^2 x + 5\cos x + 3} < 1\]for \(0 \le x \le \pi\).[2]

Video Solution:

Video solution locked

A free account saves your progress; this video needs a course plan.

Create free account Sign in Get the H2 Math course · from S$39.98/mo

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 free account Sign in Get the H2 Math course · from S$39.98/mo H2 Math tuition

Create a free account to practise similar questions.

Create free account Sign in Get the H2 Math course · from S$39.98/mo H2 Math tuition

Answer:(a) \(x<-\dfrac12\) or \(x>3\) (b) \(\dfrac{2\pi}{3}<x\leq\pi\)

Need help? Join our JC Math tuition classes.