Mathematics Answer, Explanation and Revision Hints
\(यदि (R={x:x\) एक पूर्णांक है और -4<x\leq -1}) है, तो (R) का सूची रूप क्या है? \(/ If (R={x:x\) is an integer and \(-4<x\leq -1}), what is the roster form of (R)\)?
Correct Answer: A. \(R=\{-3,-2,-1\}\). Explanation: चरण 1: (-4<x) के कारण (-4) शामिल नहीं है। चरण 2: \(x\leq -1\) के कारण (-1) शामिल है, इसलिए अवयव (-3,-2,-1) हैं। चरण 3: ऋणात्मक सीमाओं में भी असमानता चिह्नों को ध्यान से पढ़ें। / Step 1: Because (-4<x), (-4) is not included. Step 2: Because \(x\leq -1\), (-1) is included, so the elements are (-3,-2,-1). Step 3: Read inequality signs carefully even with negative limits.
Why is option A correct in this Mathematics MCQ?
\(x\leq -1\) के कारण (-1) शामिल है, इसलिए अवयव (-3,-2,-1) हैं। / Because \(x\leq -1\), (-1) is included, so the elements are (-3,-2,-1).
What should I remember for this Mathematics concept?
ऋणात्मक सीमाओं में भी असमानता चिह्नों को ध्यान से पढ़ें। / Read inequality signs carefully even with negative limits.
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