संयुक्त असमानता (-2(3x-4)\le 5-x<2x+7) का हल क्या है?
What is the solution of the compound inequality (-2(3x-4)\le 5-x<2x+7)?
Explanation opens after your attempt
Correct Answer
B. \({x:x\ge \frac{3}{5}}\)
Concept
Solving both parts separately gives \(x\ge \frac{3}{5}\) and \(x>-\frac{2}{3}\), so the common solution is \(x\ge \frac{3}{5}\). For compound inequalities, always take the intersection.
Why this answer is correct
The correct answer is B. \({x:x\ge \frac{3}{5}}\). Solving both parts separately gives \(x\ge \frac{3}{5}\) and \(x>-\frac{2}{3}\), so the common solution is \(x\ge \frac{3}{5}\). For compound inequalities, always take the intersection.
Exam Tip
दोनों भाग अलग हल करने पर \(x\ge \frac{3}{5}\) और \(x>-\frac{2}{3}\) मिलते हैं, इसलिए साझा हल \(x\ge \frac{3}{5}\) है। संयुक्त असमानता में हमेशा प्रतिच्छेद लें।
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