द्वि-असमीका \(-4<\frac{x+2}{2}\le 1\) को हल कीजिए।

Solve the compound inequality \(-4<\frac{x+2}{2}\le 1\).

Explanation opens after your attempt
Correct Answer

B. \(-10<x\le 0\)

Step 1

Concept

Multiplying first by (2) gives \(-8<x+2\le 2\), so \(-10<x\le 0\). A positive multiplier does not change the inequality sign.

Step 2

Why this answer is correct

The correct answer is B. \(-10<x\le 0\). Multiplying first by (2) gives \(-8<x+2\le 2\), so \(-10<x\le 0\). A positive multiplier does not change the inequality sign.

Step 3

Exam Tip

पहले (2) से गुणा करने पर \(-8<x+2\le 2\), इसलिए \(-10<x\le 0\)। परीक्षा में धनात्मक गुणा से असमीका का चिन्ह नहीं बदलता।

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Mathematics Answer, Explanation and Revision Hints

द्वि-असमीका \(-4<\frac{x+2}{2}\le 1\) को हल कीजिए। / Solve the compound inequality \(-4<\frac{x+2}{2}\le 1\).

Correct Answer: B. \(-10<x\le 0\). Explanation: पहले (2) से गुणा करने पर \(-8<x+2\le 2\), इसलिए \(-10<x\le 0\)। परीक्षा में धनात्मक गुणा से असमीका का चिन्ह नहीं बदलता। / Multiplying first by (2) gives \(-8<x+2\le 2\), so \(-10<x\le 0\). A positive multiplier does not change the inequality sign.

Which concept should I revise for this Mathematics MCQ?

Multiplying first by (2) gives \(-8<x+2\le 2\), so \(-10<x\le 0\). A positive multiplier does not change the inequality sign.

What exam hint can help solve this Mathematics question?

पहले (2) से गुणा करने पर \(-8<x+2\le 2\), इसलिए \(-10<x\le 0\)। परीक्षा में धनात्मक गुणा से असमीका का चिन्ह नहीं बदलता।