COMEDK · Maths · 1. Basic of Mathematics
The range of \(x\) which satisfy the inequation : \(-5 \leq \dfrac{2-3 x}{4} \leq 9\) is
- A \(\left[-\dfrac{34}{3}, \dfrac{22}{3}\right)\)
- B \(\left[-\dfrac{34}{3}, 8\right]\)
- C \(\left(-\dfrac{34}{3},-\dfrac{22}{3}\right)\)
- D \(\left[-\dfrac{34}{3}, \dfrac{22}{3}\right]\)
Answer & Solution
Correct Answer
(D) \(\left[-\dfrac{34}{3}, \dfrac{22}{3}\right]\)
Step-by-step Solution
Detailed explanation
Given the inequality \(-5 \leq \dfrac{2-3x}{4} \leq 9\). Multiply all parts by \(4\) to eliminate the denominator: \(-20 \leq 2-3x \leq 36\). Subtract \(2\) from all parts: \(-22 \leq -3x \leq 34\). Divide by \(-3\) and reverse the inequality signs:…
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