द्वि-असमीका \(-2\le \frac{3x+1}{5}<4\) को हल कीजिए।

Solve the compound inequality \(-2\le \frac{3x+1}{5}<4\).

Explanation opens after your attempt
Correct Answer

B. \(-\frac{11}{3}\le x<\frac{19}{3}\)

Step 1

Concept

Multiplying by (5) gives \(-10\le 3x+1<20\), so \(-\frac{11}{3}\le x<\frac{19}{3}\). A positive multiplier does not change the signs.

Step 2

Why this answer is correct

The correct answer is B. \(-\frac{11}{3}\le x<\frac{19}{3}\). Multiplying by (5) gives \(-10\le 3x+1<20\), so \(-\frac{11}{3}\le x<\frac{19}{3}\). A positive multiplier does not change the signs.

Step 3

Exam Tip

पहले (5) से गुणा करके \(-10\le 3x+1<20\) मिलता है, इसलिए \(-\frac{11}{3}\le x<\frac{19}{3}\)। परीक्षा में धनात्मक गुणा से चिन्ह नहीं बदलता।

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Mathematics Answer, Explanation and Revision Hints

द्वि-असमीका \(-2\le \frac{3x+1}{5}<4\) को हल कीजिए। / Solve the compound inequality \(-2\le \frac{3x+1}{5}<4\).

Correct Answer: B. \(-\frac{11}{3}\le x<\frac{19}{3}\). Explanation: पहले (5) से गुणा करके \(-10\le 3x+1<20\) मिलता है, इसलिए \(-\frac{11}{3}\le x<\frac{19}{3}\)। परीक्षा में धनात्मक गुणा से चिन्ह नहीं बदलता। / Multiplying by (5) gives \(-10\le 3x+1<20\), so \(-\frac{11}{3}\le x<\frac{19}{3}\). A positive multiplier does not change the signs.

Which concept should I revise for this Mathematics MCQ?

Multiplying by (5) gives \(-10\le 3x+1<20\), so \(-\frac{11}{3}\le x<\frac{19}{3}\). A positive multiplier does not change the signs.

What exam hint can help solve this Mathematics question?

पहले (5) से गुणा करके \(-10\le 3x+1<20\) मिलता है, इसलिए \(-\frac{11}{3}\le x<\frac{19}{3}\)। परीक्षा में धनात्मक गुणा से चिन्ह नहीं बदलता।