असमानता \(\frac{5-4x}{-2}>3\) का संख्या रेखा पर सही हल कौन-सा है?
Which is the correct number line solution of \(\frac{5-4x}{-2}>3\)?
Explanation opens after your attempt
B. \(x>\frac{11}{4}\), \(\frac{11}{4}\) पर खुला बिंदु और दाईं ओर\(x>\frac{11}{4}\), open dot at \(\frac{11}{4}\) shaded right
Concept
Multiplying by (-2) reverses the sign to (5-4x<-6), so \(x>\frac{11}{4}\). In exams, reverse the inequality when removing a negative denominator.
Why this answer is correct
The correct answer is B. \(x>\frac{11}{4}\), \(\frac{11}{4}\) पर खुला बिंदु और दाईं ओर / \(x>\frac{11}{4}\), open dot at \(\frac{11}{4}\) shaded right. Multiplying by (-2) reverses the sign to (5-4x<-6), so \(x>\frac{11}{4}\). In exams, reverse the inequality when removing a negative denominator.
Exam Tip
(-2) से गुणा करने पर चिन्ह पलटकर (5-4x<-6), इसलिए \(x>\frac{11}{4}\)। परीक्षा में negative denominator हटाते समय inequality reverse करें।
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