दोहरी असमानता \( -2<\frac{5-3x}{4}\leq 1 \) का सही हल-अंतराल क्या है?

What is the correct solution interval of the double inequality \( -2<\frac{5-3x}{4}\leq 1 \)?

Explanation opens after your attempt
Correct Answer

C. \( \frac{1}{3}\leq x<\frac{13}{3} \)

Step 1

Concept

Dividing by (-3) reverses both inequality signs. Hence the solution is \( \frac{1}{3}\leq x<\frac{13}{3} \).

Step 2

Why this answer is correct

The correct answer is C. \( \frac{1}{3}\leq x<\frac{13}{3} \). Dividing by (-3) reverses both inequality signs. Hence the solution is \( \frac{1}{3}\leq x<\frac{13}{3} \).

Step 3

Exam Tip

(-3) से भाग देने पर दोनों असमानता-चिह्न उलटते हैं। इसलिए हल \( \frac{1}{3}\leq x<\frac{13}{3} \) है।

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दोहरी असमानता \( -2<\frac{5-3x}{4}\leq 1 \) का सही हल-अंतराल क्या है? / What is the correct solution interval of the double inequality \( -2<\frac{5-3x}{4}\leq 1 \)?

Correct Answer: C. \( \frac{1}{3}\leq x<\frac{13}{3} \). Explanation: (-3) से भाग देने पर दोनों असमानता-चिह्न उलटते हैं। इसलिए हल \( \frac{1}{3}\leq x<\frac{13}{3} \) है। / Dividing by (-3) reverses both inequality signs. Hence the solution is \( \frac{1}{3}\leq x<\frac{13}{3} \).

Which concept should I revise for this Mathematics MCQ?

Dividing by (-3) reverses both inequality signs. Hence the solution is \( \frac{1}{3}\leq x<\frac{13}{3} \).

What exam hint can help solve this Mathematics question?

(-3) से भाग देने पर दोनों असमानता-चिह्न उलटते हैं। इसलिए हल \( \frac{1}{3}\leq x<\frac{13}{3} \) है।