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What is the solution of the compound inequality (-2(3x-4)\le 5-x<2x+7)?संयुक्त असमानता (-2(3x-4)\le 5-x<2x+7) का हल क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ({x:x\ge \frac{3}{5}})({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.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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