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What is the correct number-line interval for ( 0<5-2x\le 12 )?( 0<5-2x\le 12 ) का सही संख्या रेखा अंतराल कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( \left[-\frac{7}{2},\frac{5}{2}\right) )( \left[-\frac{7}{2},\frac{5}{2}\right) )
Solving gives ( -5<-2x\le 7 ), then signs reverse to ( \frac{5}{2}>x\ge -\frac{7}{2} ). In order, write ( -\frac{7}{2}\le x<\frac{5}{2} ).हल करने पर ( -5<-2x\le 7 ), फिर चिन्ह पलटकर ( \frac{5}{2}>x\ge -\frac{7}{2} ) मिलता है। क्रम में ( -\frac{7}{2}\le x<\frac{5}{2} ) लिखें।
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