CUET · MATHS · PYQ PAPER 2025
The solution set of the linear inequation \(|4 x-3| \leq \frac{3}{4}\) is :
- A \(\left(\frac{9}{16}, \frac{15}{16}\right)\)
- B \(\left(-\frac{15}{16}, \frac{9}{16}\right)\)
- C \(\left[\frac{9}{16}, \frac{15}{16}\right]\)
- D \(\left[-\frac{15}{16}, \frac{9}{16}\right]\)
Answer & Solution
Correct Answer
(C) \(\left[\frac{9}{16}, \frac{15}{16}\right]\)
Step-by-step Solution
Detailed explanation
\(-\frac{3}{4} \leq 4x-3 \leq \frac{3}{4}\) \(3-\frac{3}{4} \leq 4x \leq 3+\frac{3}{4}\) \(\frac{9}{4} \leq 4x \leq \frac{15}{4}\) \(\frac{9}{16} \leq x \leq \frac{15}{16}\) Solution set: \(\left[\frac{9}{16}, \frac{15}{16}\right]\)
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