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 261-270 of 591 questions.
What is the solution of \(8x-11\geq 5x+10\)?
A. \(x\geq 7\)
\(3x\geq 21\) से \(x\geq 7\) मिलता है। चर पदों और स्थिर पदों को अलग तरफ रखें। / From \(3x\geq 21\), we get \(x\geq 7\). Keep variable terms and constant terms on separate sides.
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Which is the solution of \(\frac{x}{4}-1>2\)?
A. (x>12)
\(\frac{x}{4}>3\) इसलिए (x>12) है। धनात्मक (4) से गुणा करने पर चिन्ह नहीं बदलता। / \(\frac{x}{4}>3\), so (x>12). Multiplying by positive (4) does not change the sign.
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If \(\frac{x+3}{2}>6\), what is the least integer value of (x)?
A. (10)
\(\frac{x+3}{2}>6\) से (x>9) मिलता है। इसलिए सबसे छोटा पूर्णांक हल (10) है। / From \(\frac{x+3}{2}>6\), we get (x>9). Hence the least integer solution is (10).
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Which inequality has the solution (\(-\infty,2]\)?
A. \(x\leq 2\)
(\(-\infty,2]\) का अर्थ (2) तक के सभी मान हैं। (2) शामिल है इसलिए \(\leq\) प्रयोग होगा। / (\(-\infty,2]\) means all values up to (2). Since (2) is included, \(\leq\) is used.
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What is the solution of the compound inequality \(2\leq 3x-1<14\)?
A. \(1\leq x<5\)
सभी भागों में (1) जोड़ने पर \(3\leq 3x<15\), इसलिए \(1\leq x<5\)। संयुक्त असमानता में हर भाग पर समान क्रिया करें। / Adding (1) to all parts gives \(3\leq 3x<15\), so \(1\leq x<5\). Apply the same operation to every part of a compound inequality.
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Solve the inequality \(-8<2x+4\leq 12\).
A. \(-6<x\leq 4\)
सभी भागों से (4) घटाकर (2) से भाग देने पर \(-6<x\leq 4\) मिलता है। खुली और बंद सीमा अलग पहचानें। / Subtracting (4) from all parts and dividing by (2) gives \(-6<x\leq 4\). Identify open and closed boundaries separately.
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Which interval represents (x>-5)?
A. (\(-5,\infty\))
(x>-5) में (-5) शामिल नहीं है और मान दाईं ओर जाते हैं। इसलिए खुला कोष्ठक लगेगा। / In (x>-5), (-5) is not included and values go to the right. So an open bracket is used.
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What is the solution of (6x+5<4x+19)?
A. (x<7)
(2x<14) से (x<7) मिलता है। दोनों पक्षों के समान पद घटाकर असमानता सरल करें। / From (2x<14), we get (x<7). Simplify the inequality by subtracting like terms from both sides.
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If (x) is a real number, which statement is always true?
A. \(x^2+1>0\)
\(x^2\geq 0\) होता है इसलिए \(x^2+1>0\) हमेशा सत्य है। ऐसे प्रश्नों में मूल गुण याद रखें। / Since \(x^2\geq 0\), \(x^2+1>0\) is always true. Remember basic properties in such questions.
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Which symbol represents an inequality including equality?
A. \(\geq\)
\(\geq\) का अर्थ बड़ा या बराबर होता है। इसलिए इसमें सीमा मान भी शामिल होता है। / \(\geq\) means greater than or equal to. Therefore it includes the boundary value.
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