यदि \(x\in[1,4\)) और (y=5-3x) है, तो (y) किस अंतराल में होगा?
If \(x\in[1,4\)) and (y=5-3x), in which interval will (y) lie?
Explanation opens after your attempt
Correct Answer
A. (y\in(-7,2])
Concept
The linear expression (5-3x) is decreasing, so the order of endpoints reverses. Since (x=1) is included, (2) is included, and since (x=4) is excluded, (-7) is excluded.
Why this answer is correct
The correct answer is A. (y\in(-7,2]). The linear expression (5-3x) is decreasing, so the order of endpoints reverses. Since (x=1) is included, (2) is included, and since (x=4) is excluded, (-7) is excluded.
Exam Tip
रैखिक रूप (5-3x) घटता है, इसलिए सिरों का क्रम उलटता है। (x=1) शामिल है इसलिए (2) शामिल है और (x=4) शामिल नहीं है इसलिए (-7) शामिल नहीं है।
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