असमानता \(3<\frac{x-2}{4}\le 8\) का संख्या रेखा पर सही अंतराल क्या है?
What is the correct interval on the number line for \(3<\frac{x-2}{4}\le 8\)?
Explanation opens after your attempt
A. ((14,34])
Concept
Multiplying all parts by (4) gives \(12<x-2\le32\), so \(14<x\le34\). In exams, apply the same operation to every part of a compound inequality.
Why this answer is correct
The correct answer is A. ((14,34]). Multiplying all parts by (4) gives \(12<x-2\le32\), so \(14<x\le34\). In exams, apply the same operation to every part of a compound inequality.
Exam Tip
सभी भागों को (4) से गुणा करने पर \(12<x-2\le32\), इसलिए \(14<x\le34\)। परीक्षा में संयुक्त असमानता में हर भाग पर समान क्रिया करें।
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