closed circle se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
18 questions tagged with closed circle.
What is the number line solution of \(5-2x\le 1\)?
B. \(x\ge 2\)
हल करने पर \(-2x\le -4\) और ऋणात्मक से भाग देने पर \(x\ge 2\) मिलता है। परीक्षा में चिन्ह पलटना जरूरी है। / Solving gives \(-2x\le -4\), and dividing by a negative gives \(x\ge 2\). In exams, reversing the sign is essential.
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Which inequality is represented by a closed circle at (7) and shading to the left?
B. \(x\le 7\)
भरा गोला (7) को शामिल करता है और बाईं ओर (7) से छोटी संख्याएँ हैं। परीक्षा में भरा गोला देखकर बराबरी का चिन्ह जोड़ें। / A closed circle includes (7), and the left side contains numbers less than (7). In exams, add equality when you see a closed circle.
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B. \([6,\infty\))
भरा गोला (6) को शामिल करता है और दाईं ओर बड़ी संख्याएँ होती हैं। परीक्षा में \(\infty\) के साथ हमेशा खुला कोष्ठक रखें। / A closed circle includes (6), and numbers to the right are greater. In exams, always use an open bracket with \(\infty\).
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Which is the correct representation of \(x\le -3\) on a number line?
B. (-3) पर भरा गोला और बाईं ओर रेखाClosed circle at (-3) and line to the left
\(\le\) में सीमा संख्या शामिल होती है और छोटी संख्याएँ बाईं ओर होती हैं। परीक्षा में भरे गोले का अर्थ शामिल समझें। / In \(\le\), the boundary number is included and smaller numbers lie to the left. In exams, a closed circle means included.
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What is the correct number line representation of \(3x+4\ge -2\)?
B. (-2) पर भरा वृत्त और दाईं ओरClosed circle at (-2) and right side
हल करने पर \(x\ge -2\) मिलता है। \(\ge\) के कारण सीमा शामिल होती है और दाईं ओर छायांकन होगा। / Solving gives \(x\ge -2\). Because of \(\ge\), the boundary is included and shading goes right.
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If the representation of \(x\ge -3\) is to be drawn, what mark is made at (-3)?
B. भरा वृत्तClosed circle
\(x\ge -3\) में (-3) समाधान का भाग है। शामिल सीमा पर भरा वृत्त बनाया जाता है। / In \(x\ge -3\), (-3) is part of the solution. An included boundary is shown by a closed circle.
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How will \(x\le 14\) be shown on the number line?
B. (14) पर भरा वृत्त और बाईं ओर छायांकनClosed circle at (14) and shading left
\(\le\) में (14) शामिल है और उससे छोटी संख्याएँ बाईं ओर होती हैं। शामिल सीमा के लिए भरा वृत्त बनाइए। / The sign \(\le\) includes (14) and smaller numbers are on the left. Use a closed circle for an included boundary.
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If the representation of \(x\le 3\) is to be drawn, what mark is made at (3)?
B. भरा वृत्तClosed circle
\(x\le 3\) में (3) समाधान का भाग है। शामिल सीमा पर भरा वृत्त बनाया जाता है। / In \(x\le 3\), (3) is part of the solution. An included boundary is shown by a closed circle.
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Which endpoint is closed in the number line representation of (-10,-4)?
B. केवल (-4)Only (-4)
वर्ग कोष्ठक वाला सिरा शामिल होता है और गोल कोष्ठक वाला सिरा शामिल नहीं होता। इसलिए (-4) बंद होगा। / The endpoint with a square bracket is included and the endpoint with a parenthesis is excluded. Therefore (-4) is closed.
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How will \(x\ge -9\) be shown on the number line?
B. (-9) पर भरा वृत्त और दाईं ओर छायांकनClosed circle at (-9) and shading right
\(\ge\) में सीमा शामिल होती है और दाईं ओर बड़ी संख्याएँ मिलती हैं। इसलिए (-9) पर भरा वृत्त बनेगा। / \(\ge\) includes the boundary and greater numbers are on the right. Therefore a closed circle is drawn at (-9).
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What type of boundary point is used for \(x\le -6\) on the number line?
B. भरा वृत्तClosed circle
\(\le\) में बराबरी शामिल होती है इसलिए सीमा (-6) समाधान में है। शामिल सीमा के लिए भरा वृत्त बनता है। / The sign \(\le\) includes equality, so the boundary (-6) is in the solution. An included boundary is shown by a closed circle.
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If a representation has a closed circle at (b), what is the correct meaning?
A. (b) समाधान में शामिल है(b) is included in the solution
भरा वृत्त बताता है कि सीमा संख्या शामिल है। \(\le\) और \(\ge\) में सामान्यतः भरा वृत्त आता है। / A closed circle shows that the boundary number is included. Usually \(\le\) and \(\ge\) use closed circles.
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If the number line has a closed circle at (-5) and shading to the right then what is the inequality?
D. \(x\ge -5\)
भरा वृत्त (-5) को शामिल करता है और दाईं ओर बड़ी संख्याएँ होती हैं। इसलिए \(x\ge -5\) सही है। / The closed circle includes (-5), and the right side has greater numbers. Therefore \(x\ge -5\) is correct.
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Which is the correct representation of \(x\le -2\) on the number line?
B. (-2) पर भरा वृत्त और बाईं ओर छायांकनClosed circle at (-2) and shading left
चिह्न \(\le\) में (-2) शामिल है और छोटी संख्याएँ बाईं ओर होती हैं। सीमा शामिल हो तो भरा वृत्त बनाइए। / The sign \(\le\) includes (-2) and smaller numbers lie to the left. Use a closed circle when the endpoint is included.
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Which inequality has a number-line graph with a closed circle at (0) and shading to the right?
A. \(x\geq 0\)
बंद वृत्त (0) को शामिल करता है और दाईं ओर छाया (0) से बड़ी संख्याओं को दिखाती है। इसलिए \(x\geq 0\) सही है। / A closed circle includes (0), and right-side shading shows numbers greater than (0). Therefore \(x\geq 0\) is correct.
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Which number line form is correct for \(x\le -4\)?
B. (-4) पर बंद बिंदु और बाईं ओरClosed circle at (-4) and left side
\(\le\) में सीमा शामिल होती है और छोटी संख्याएँ बाईं ओर होती हैं। इसलिए (-4) पर बंद बिंदु और बाईं ओर रेखा होगी। / The sign \(\le\) includes the boundary, and smaller numbers lie to the left. So use a closed circle at (-4) and shade left.
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Which number line form is correct for \(x\ge -1\)?
B. (-1) पर बंद बिंदु और दाईं ओरClosed circle at (-1) and right side
\(\ge\) में सीमा शामिल होती है और बड़ी संख्याएँ दाईं ओर होती हैं। इसलिए (-1) पर बंद बिंदु और दाईं ओर रेखा बनेगी। / The sign \(\ge\) includes the boundary, and greater numbers are to the right. So use a closed circle at (-1) and shade right.
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For \(x\ge -2\), which number line representation is correct?
B. (-2) पर बंद बिंदु और दाईं ओरClosed circle at (-2) and right side
\(\ge\) में (-2) शामिल है और बड़ी संख्याएँ दाईं ओर हैं। बंद बिंदु बराबरी को दिखाता है। / The sign \(\ge\) includes (-2), and greater numbers are to the right. A closed circle shows equality.
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