यदि \(x\in\mathbb{Z}\) और \(-1<2x+3\leq 9\) है तो हल समुच्चय कौन सा है?
If \(x\in\mathbb{Z}\) and \(-1<2x+3\leq 9\), what is the solution set?
Explanation opens after your attempt
Correct Answer
A. ({-1,0,1,2,3})
Concept
From \(-1<2x+3\leq 9\), we get \(-4<2x\leq 6\), hence \(-2<x\leq 3\). For integers, handle open and closed endpoints carefully.
Why this answer is correct
The correct answer is A. ({-1,0,1,2,3}). From \(-1<2x+3\leq 9\), we get \(-4<2x\leq 6\), hence \(-2<x\leq 3\). For integers, handle open and closed endpoints carefully.
Exam Tip
\(-1<2x+3\leq 9\) से \(-4<2x\leq 6\) और \(-2<x\leq 3\) मिलता है। पूर्णांक चुनते समय खुले और बंद सिरों का ध्यान रखें।
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