COMEDK · Maths · 1. Basic of Mathematics
The inequality \(4 x-3 \geq \dfrac{10 x-1}{3}\) represents which of the following interval when \(x \in R\)
- A \(\{4,5,6,7 \cdots\}\)
- B \((-\infty, 4]\)
- C \([4, \infty)\)
- D \([-4, \infty)\)
Answer & Solution
Correct Answer
(C) \([4, \infty)\)
Step-by-step Solution
Detailed explanation
Given the inequality \(4x - 3 \geq \dfrac{10x - 1}{3}\). Multiplying both sides by \(3\) (since \(3 > 0\), the inequality sign remains unchanged): \(3(4x - 3) \geq 10x - 1\) \(12x - 9 \geq 10x - 1\) Subtracting \(10x\) from both sides: \(2x - 9 \geq -1\) Adding \(9\) to both…
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