\( 0<5-2x\le 12 \) का सही संख्या रेखा अंतराल कौन सा है?
What is the correct number-line interval for \( 0<5-2x\le 12 \)?
Explanation opens after your attempt
A. \( \left[-\frac{7}{2},\frac{5}{2}\right\) )
Concept
Solving gives \( -5<-2x\le 7 \), then signs reverse to \( \frac{5}{2}>x\ge -\frac{7}{2} \). In order, write \( -\frac{7}{2}\le x<\frac{5}{2} \).
Why this answer is correct
The correct answer is A. \( \left[-\frac{7}{2},\frac{5}{2}\right\) ). Solving gives \( -5<-2x\le 7 \), then signs reverse to \( \frac{5}{2}>x\ge -\frac{7}{2} \). In order, write \( -\frac{7}{2}\le x<\frac{5}{2} \).
Exam Tip
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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