असमानता \(9\le 5-2x<15\) का सही number line interval कौन-सा है?

Which is the correct number line interval for \(9\le 5-2x<15\)?

Explanation opens after your attempt
Correct Answer

A. ((-5,-2])

Step 1

Concept

\(4\le -2x<10\) gives \(-5<x\le -2\) after negative division. In exams, endpoints also reverse when dividing a compound inequality by a negative.

Step 2

Why this answer is correct

The correct answer is A. ((-5,-2]). \(4\le -2x<10\) gives \(-5<x\le -2\) after negative division. In exams, endpoints also reverse when dividing a compound inequality by a negative.

Step 3

Exam Tip

\(4\le -2x<10\) से negative division के बाद \(-5<x\le -2\) मिलता है। परीक्षा में compound inequality को negative से divide करते समय endpoints भी उलटते हैं।

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Mathematics Answer, Explanation and Revision Hints

असमानता \(9\le 5-2x<15\) का सही number line interval कौन-सा है? / Which is the correct number line interval for \(9\le 5-2x<15\)?

Correct Answer: A. ((-5,-2]). Explanation: \(4\le -2x<10\) से negative division के बाद \(-5<x\le -2\) मिलता है। परीक्षा में compound inequality को negative से divide करते समय endpoints भी उलटते हैं। / \(4\le -2x<10\) gives \(-5<x\le -2\) after negative division. In exams, endpoints also reverse when dividing a compound inequality by a negative.

Which concept should I revise for this Mathematics MCQ?

\(4\le -2x<10\) gives \(-5<x\le -2\) after negative division. In exams, endpoints also reverse when dividing a compound inequality by a negative.

What exam hint can help solve this Mathematics question?

\(4\le -2x<10\) से negative division के बाद \(-5<x\le -2\) मिलता है। परीक्षा में compound inequality को negative से divide करते समय endpoints भी उलटते हैं।