असमानता \(-2\le\frac{5-x}{3}<4\) का सही संख्या रेखा अंतराल कौन-सा है?

Which is the correct number line interval for \(-2\le\frac{5-x}{3}<4\)?

Explanation opens after your attempt
Correct Answer

A. ((-7,11])

Step 1

Concept

\(-6\le5-x<12\) gives \(-11\le -x<7\), so \(-7<x\le11\). In exams, reverse order and signs when changing (-x) to (x).

Step 2

Why this answer is correct

The correct answer is A. ((-7,11]). \(-6\le5-x<12\) gives \(-11\le -x<7\), so \(-7<x\le11\). In exams, reverse order and signs when changing (-x) to (x).

Step 3

Exam Tip

\(-6\le5-x<12\) से \(-11\le -x<7\), इसलिए \(-7<x\le11\)। परीक्षा में (-x) को (x) बनाते समय क्रम और चिन्ह पलटें।

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Mathematics Answer, Explanation and Revision Hints

असमानता \(-2\le\frac{5-x}{3}<4\) का सही संख्या रेखा अंतराल कौन-सा है? / Which is the correct number line interval for \(-2\le\frac{5-x}{3}<4\)?

Correct Answer: A. ((-7,11]). Explanation: \(-6\le5-x<12\) से \(-11\le -x<7\), इसलिए \(-7<x\le11\)। परीक्षा में (-x) को (x) बनाते समय क्रम और चिन्ह पलटें। / \(-6\le5-x<12\) gives \(-11\le -x<7\), so \(-7<x\le11\). In exams, reverse order and signs when changing (-x) to (x).

Which concept should I revise for this Mathematics MCQ?

\(-6\le5-x<12\) gives \(-11\le -x<7\), so \(-7<x\le11\). In exams, reverse order and signs when changing (-x) to (x).

What exam hint can help solve this Mathematics question?

\(-6\le5-x<12\) से \(-11\le -x<7\), इसलिए \(-7<x\le11\)। परीक्षा में (-x) को (x) बनाते समय क्रम और चिन्ह पलटें।