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

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

Explanation opens after your attempt
Correct Answer

A. ([-11,7))

Step 1

Concept

Multiplying all parts by (3) gives \(-6\le x+5<12\), so \(-11\le x<7\). In exams, apply the same operation to every part of a compound inequality.

Step 2

Why this answer is correct

The correct answer is A. ([-11,7)). Multiplying all parts by (3) gives \(-6\le x+5<12\), so \(-11\le x<7\). In exams, apply the same operation to every part of a compound inequality.

Step 3

Exam Tip

सभी भागों को (3) से गुणा करने पर \(-6\le x+5<12\), इसलिए \(-11\le x<7\)। परीक्षा में compound inequality में हर भाग पर समान operation करें।

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Mathematics Answer, Explanation and Revision Hints

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

Correct Answer: A. ([-11,7)). Explanation: सभी भागों को (3) से गुणा करने पर \(-6\le x+5<12\), इसलिए \(-11\le x<7\)। परीक्षा में compound inequality में हर भाग पर समान operation करें। / Multiplying all parts by (3) gives \(-6\le x+5<12\), so \(-11\le x<7\). In exams, apply the same operation to every part of a compound inequality.

Which concept should I revise for this Mathematics MCQ?

Multiplying all parts by (3) gives \(-6\le x+5<12\), so \(-11\le x<7\). In exams, apply the same operation to every part of a compound inequality.

What exam hint can help solve this Mathematics question?

सभी भागों को (3) से गुणा करने पर \(-6\le x+5<12\), इसलिए \(-11\le x<7\)। परीक्षा में compound inequality में हर भाग पर समान operation करें।