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If \(x\in(-\infty,-1)\cup[-1,5)\), what is the simplified interval?यदि \(x\in(-\infty,-1)\cup[-1,5)\) हो, तो सरलीकृत अंतराल क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(( -\infty,5)\)\(( -\infty,5)\)
Combine the intervals: \((-\infty,-1)\cup[-1,5)\) includes all \(x\) less than \(5\) and also includes \(-1\) because \(-1\) belongs to \([-1,5)\). Since \(5\) is not included (\(5\) has a parenthesis), the simplified interval is \(( -\infty,5)\).अंतरालों को मिलाएँ: \((-\infty,-1)\cup[-1,5)\) में वे सभी \(x\) शामिल हैं जो \(5\) से छोटे हैं, और \(-1\) भी शामिल है क्योंकि \(-1\) \([-1,5)\) में आता है। \(5\) शामिल नहीं है (\(5\) पर कोष्ठक है), इसलिए सरलीकृत अंतराल \(( -\infty,5)\) होगा।
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