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Solve the compound inequality (-2<\frac{5-2x}{3}\le 3).द्वि-असमीका (-2<\frac{5-2x}{3}\le 3) को हल कीजिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (-2\le x<\frac{11}{2})(-2\le x<\frac{11}{2})
From (-6<5-2x\le 9), we get (-11<-2x\le 4), so (-2\le x<\frac{11}{2}). In compound inequalities, division by a negative reverses the direction.(-6<5-2x\le 9) से (-11<-2x\le 4), इसलिए (-2\le x<\frac{11}{2})। परीक्षा में ऋणात्मक संख्या से भाग देने पर द्वि-असमीका की दिशा बदलती है।
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