Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 321-330 of 592 questions.
What is the number line interval for \(0\le \frac{x-4}{3}<2\)?
A. ([4,10))
\(0\le x-4<6\) से \(4\le x<10\) मिलता है। परीक्षा में fraction हटाकर endpoints को सावधानी से adjust करें।
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Write (\(-\infty,-2]\cup[-2,5\)) as a simplified interval on the number line.
A. (\(-\infty,5\))
दोनों intervals (-2) पर जुड़ते हैं और (5) शामिल नहीं है। परीक्षा में touching intervals को merge करें जब common endpoint included हो। / The two intervals meet at (-2), and (5) is not included. In exams, merge touching intervals when the common endpoint is included.
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Which number line shows the union of \(x\ge 1\) and (x<1)?
A. (\(-\infty,\infty\))
(x<1) और \(x\ge 1\) मिलकर सभी real numbers देते हैं। परीक्षा में complementary rays का union पूरी number line होता है।
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Which number line shows the intersection of (x>3) and \(x\le 3\)?
A. \(\emptyset\)
कोई (x) एक साथ (3) से बड़ा और (3) से कम या बराबर नहीं हो सकता। परीक्षा में contradictory conditions का intersection empty होता है। / No (x) can be greater than (3) and less than or equal to (3) at the same time. In exams, the intersection of contradictory conditions is empty.
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How will (3(x-2)\le 2(x+5)) be represented on the number line?
A. \(x\le 16\), (16) पर बंद बिंदु और बाईं ओर\(x\le 16\), closed dot at (16) shaded left
\(3x-6\le 2x+10\) से \(x\le 16\) मिलता है। परीक्षा में brackets खोलकर like terms को सही side पर रखें। / \(3x-6\le 2x+10\) gives \(x\le 16\). In exams, expand brackets and move like terms carefully.
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Which is the number line solution of (2(1-x)<x+8)?
A. (x>-2), (-2) पर खुला बिंदु और दाईं ओर(x>-2), open dot at (-2) shaded right
(2-2x<x+8) से (-3x<6), इसलिए (x>-2)। परीक्षा में negative coefficient से divide करते समय sign बदलें।
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What is the solution of \(x\in[-5,\infty\)\cap\(-\infty,1\)) on the number line?
A. ([-5,1))
Common भाग (-5) से (1) तक है, जिसमें (-5) शामिल और (1) बाहर है। परीक्षा में intersection में दोनों शर्तें साथ पूरी होनी चाहिए। / The common part is from (-5) to (1), including (-5) and excluding (1). In exams, both conditions must be satisfied in an intersection.
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A. (x<-1) या (x>4)(x<-1) or (x>4)
Open dots endpoints को exclude करते हैं और बाहर shading दो rays देती है। परीक्षा में outer shading को or inequality समझें। / Open dots exclude the endpoints, and outer shading gives two rays. In exams, read outer shading as an or inequality.
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Which number line interval is the union of \(-4\le x\le 0\) and (-1<x<3)?
A. ([-4,3))
दोनों intervals overlap करते हैं और मिलकर (-4) से (3) तक जाते हैं। परीक्षा में overlapping intervals का union एक बड़ा interval बनता है। / The intervals overlap and together extend from (-4) to (3). In exams, the union of overlapping intervals forms one larger interval.
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Which interval represents (\(-\infty,4]\setminus[-1,2\)) on the number line?
A. (\(-\infty,-1\)\cup[2,4])
([-1,2)) हटाने पर (-1) भी हटता है पर (2) बचता है। परीक्षा में set difference में हटाए गए interval के endpoints को ध्यान से जाँचें। / Removing ([-1,2)) removes (-1) but keeps (2). In exams, check endpoints carefully in set difference.
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