CUET · MATHS · PYQ PAPER 2025
The solution set of the inequality \(\frac{2 x+3}{x-1}<0\) is:
- A \(x \in(-\infty, 1)\)
- B \(x \in\left(-\infty, \frac{3}{2}\right)\)
- C \(x \in\left(-\frac{3}{2}, 1\right)\)
- D \(x \in\left(-\infty, \frac{2}{3}\right)\)
Answer & Solution
Correct Answer
(C) \(x \in\left(-\frac{3}{2}, 1\right)\)
Step-by-step Solution
Detailed explanation
Critical points: \( 2x+3 = 0 \Rightarrow x = -\frac{3}{2} \), \( x-1 = 0 \Rightarrow x = 1 \). For \( \frac{2x+3}{x-1}Condition: \( -\frac{3}{2} Solution set: \( x \in \left(-\frac{3}{2}, 1\right) \).
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