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 211-220 of 591 questions.
Which is the solution of \(\frac{x}{3}+2<5\)?
A. (x<9)
\(\frac{x}{3}<3\) इसलिए (x<9) है। धनात्मक (3) से गुणा करने पर चिन्ह नहीं बदलता।
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If \(\frac{x-1}{2}\geq 4\), what is the least integer value of (x)?
A. (9)
\(\frac{x-1}{2}\geq 4\) से \(x\geq 9\) मिलता है। इसलिए न्यूनतम पूर्णांक (9) है। / From \(\frac{x-1}{2}\geq 4\), we get \(x\geq 9\). Hence the least integer is (9).
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Which inequality has the solution (\(-\infty,6\))?
A. (x<6)
(\(-\infty,6\)) का अर्थ (6) से छोटे सभी वास्तविक मान हैं। (6) शामिल नहीं है, इसलिए (x<6) सही है। / (\(-\infty,6\)) means all real values less than (6). Since (6) is not included, (x<6) is correct.
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What is the solution of the compound inequality \(1<2x+3\leq 11\)?
A. \(-1<x\leq 4\)
सभी भागों से (3) घटाने पर \(-2<2x\leq 8\), इसलिए \(-1<x\leq 4\)। संयुक्त असमानता में दोनों सीमाएं साथ संभालें। / Subtracting (3) from all parts gives \(-2<2x\leq 8\), so \(-1<x\leq 4\). Handle both bounds together in compound inequalities.
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Solve the inequality \(-3\leq x+2<8\).
A. \(-5\leq x<6\)
सभी भागों से (2) घटाने पर \(-5\leq x<6\) मिलता है। बराबरी वाला चिन्ह उसी तरफ बना रहता है। / Subtracting (2) from all parts gives \(-5\leq x<6\). The equality sign remains on the same boundary.
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Which interval represents \(x\geq -2\)?
A. \([-2,\infty\))
\(x\geq -2\) में (-2) शामिल है और मान दाईं ओर जाते हैं। इसलिए \([-2,\infty\)) सही है। / In \(x\geq -2\), (-2) is included and values go to the right. So \([-2,\infty\)) is correct.
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What is the solution of (4x-5<2x+7)?
A. (x<6)
(2x<12) से (x<6) मिलता है। समान पदों को मिलाकर सरल रैखिक असमानता बनाएं। / From (2x<12), we get (x<6). Combine like terms to form a simple linear inequality.
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If (x) is a real number, what type of statement is \(x^2\geq 0\)?
A. हमेशा सत्यAlways true
किसी भी वास्तविक संख्या का वर्ग ऋणात्मक नहीं होता। यह मूलभूत असमानता अवधारणा है। / The square of any real number is never negative. This is a basic inequality concept.
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Which symbol represents a strict inequality?
A.
(<) और (>) कठोर असमानताएं हैं क्योंकि बराबरी शामिल नहीं होती। \(\leq\) और \(\geq\) में बराबरी शामिल होती है। / (<) and (>) are strict inequalities because equality is not included. \(\leq\) and \(\geq\) include equality.
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What is the greatest integer solution of \(6x+1\leq 2x+17\)?
A. (4)
\(4x\leq 16\) से \(x\leq 4\) मिलता है। इसलिए सबसे बड़ा पूर्णांक हल (4) है। / From \(4x\leq 16\), we get \(x\leq 4\). Hence the greatest integer solution is (4).
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