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If \(x\in(-2,5]\) and \(y=\frac{3-x}{2}\), in which interval will (y) lie?यदि \(x\in(-2,5]\) और \(y=\frac{3-x}{2}\) है, तो (y) किस अंतराल में होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (y\in[-1,\frac{5}{2}))(y\in[-1,\frac{5}{2}))
The linear expression \(\frac{3-x}{2}\) is decreasing, so the endpoint order reverses. At (x=5), (y=-1) is included, and since (x=-2) is excluded, \(\frac{5}{2}\) is excluded.रैखिक रूप \(\frac{3-x}{2}\) घटता है, इसलिए सिरों का क्रम उलटता है। (x=5) पर (y=-1) शामिल है और (x=-2) शामिल नहीं है, इसलिए \(\frac{5}{2}\) शामिल नहीं होगा।
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