असमानता \(6\le \frac{13-2x}{3}<15\) का संख्या रेखा पर सही interval कौन-सा है?

Which is the correct interval on the number line for \(6\le \frac{13-2x}{3}<15\)?

Explanation opens after your attempt
Correct Answer

C. (\(-16,-\frac{5}{2}]\)

Step 1

Concept

\(18\le13-2x<45\) gives \(5\le-2x<32\), so \(-16<x\le-\frac{5}{2}\). In exams, reverse order and signs when dividing by a negative.

Step 2

Why this answer is correct

The correct answer is C. (\(-16,-\frac{5}{2}]\). \(18\le13-2x<45\) gives \(5\le-2x<32\), so \(-16<x\le-\frac{5}{2}\). In exams, reverse order and signs when dividing by a negative.

Step 3

Exam Tip

\(18\le13-2x<45\) से \(5\le-2x<32\), इसलिए \(-16<x\le-\frac{5}{2}\)। परीक्षा में ऋणात्मक से भाग देने पर क्रम और चिन्ह बदलें।

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Mathematics Answer, Explanation and Revision Hints

असमानता \(6\le \frac{13-2x}{3}<15\) का संख्या रेखा पर सही interval कौन-सा है? / Which is the correct interval on the number line for \(6\le \frac{13-2x}{3}<15\)?

Correct Answer: C. (\(-16,-\frac{5}{2}]\). Explanation: \(18\le13-2x<45\) से \(5\le-2x<32\), इसलिए \(-16<x\le-\frac{5}{2}\)। परीक्षा में ऋणात्मक से भाग देने पर क्रम और चिन्ह बदलें। / \(18\le13-2x<45\) gives \(5\le-2x<32\), so \(-16<x\le-\frac{5}{2}\). In exams, reverse order and signs when dividing by a negative.

Which concept should I revise for this Mathematics MCQ?

\(18\le13-2x<45\) gives \(5\le-2x<32\), so \(-16<x\le-\frac{5}{2}\). In exams, reverse order and signs when dividing by a negative.

What exam hint can help solve this Mathematics question?

\(18\le13-2x<45\) से \(5\le-2x<32\), इसलिए \(-16<x\le-\frac{5}{2}\)। परीक्षा में ऋणात्मक से भाग देने पर क्रम और चिन्ह बदलें।