CUET · MATHS · PYQ PAPER 2025
The solution set of the inequation \(|2 x-3| \leq 4\) is
- A \(\left[\frac{1}{2}, \frac{7}{2}\right]\)
- B \(\left[-\frac{1}{2}, \frac{7}{2}\right]\)
- C \(\left[-\frac{1}{2}, \frac{5}{2}\right]\)
- D \(\left[-\frac{7}{2}, \frac{7}{2}\right]\)
Answer & Solution
Correct Answer
(B) \(\left[-\frac{1}{2}, \frac{7}{2}\right]\)
Step-by-step Solution
Detailed explanation
\(-4 \leq 2x-3 \leq 4\) \(-4+3 \leq 2x \leq 4+3\) \(-1 \leq 2x \leq 7\) \(\frac{-1}{2} \leq x \leq \frac{7}{2}\)
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