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Linear Inequalities
Representation On Number Line
Class 11 Mathematics - Linear Inequalities - representation on number line Easy Quiz
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अंतराल [2,\infty) का सही असमानता रूप क्या है?
What is the correct inequality form of the interval \([2,\infty)\)?
#linear inequalities
#interval notation
#inequality symbols
#closed endpoint
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A \(x>2\)
B \(x\ge 2\)
C \(x<2\)
D \(x\le 2\)
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Correct Answer
B. \(x\ge 2\)
Explanation
Simple Explanation
अंतराल \([2,\infty)\) में 2 के बाईं ओर वर्ग कोष्ठक है, इसलिए 2 स्वयं अंतराल में शामिल है। दाईं ओर अनंत तक जाने का अर्थ है कि \(x\) का मान 2 से बड़ा या 2 के बराबर होगा, अर्थात \(x\ge 2\)। परीक्षा-युक्ति: समापन बिंदु शामिल हो तो वर्ग कोष्ठक और असमानता में \(\ge\) या \(\le\) का प्रयोग करें। / In the interval \([2,\infty)\), the square bracket at 2 shows that 2 is included. Extending to the right toward infinity means that \(x\) is greater than or equal to 2, so \(x\ge 2\). Exam tip: an included endpoint is represented by a square bracket and by \(\ge\) or \(\le\) in inequality form.
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