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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 \(-\infty,3] किस असमानता को दर्शाता है?\)
[Which inequality is represented by the interval \((-\infty,3]\)?)
#linear inequalities
#interval notation
#inequality symbols
#number line
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A \(x<3\)
B \(x\le 3\)
C \(x>3\)
D \(x\ge 3\)
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Correct Answer
B. \(x\le 3\)
Explanation
Simple Explanation
अंतराल के दाएँ छोर पर वर्ग कोष्ठक ] यह दर्शाता है कि 3 अंतराल में शामिल है। इसलिए इसमें 3 से छोटी या उसके बराबर सभी संख्याएँ आती हैं, अर्थात् \(x\le 3\)। परीक्षा में याद रखें: वर्ग कोष्ठक छोर को शामिल करता है, जबकि अनंत को कभी शामिल नहीं किया जाता। / The square bracket ] at the right endpoint shows that 3 is included in the interval. Thus the interval contains all numbers less than or equal to 3, so the inequality is \(x\le 3\). Exam tip: a square bracket includes the endpoint, while infinity is never included.
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