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 281-290 of 591 questions.
Which is the solution of \(12\geq 3x+3\)?
A. \(x\leq 3\)
\(9\geq 3x\) से \(3\geq x\), यानी \(x\leq 3\) मिलता है। दिशा को ठीक से पढ़ना जरूरी है। / From \(9\geq 3x\), we get \(3\geq x\), that is \(x\leq 3\). Reading the direction correctly is important.
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Solve the inequality \(\frac{3x-2}{4}\geq 4\).
A. \(x\geq 6\)
धनात्मक (4) से गुणा करने पर \(3x-2\geq 16\), इसलिए \(x\geq 6\)। धनात्मक हर से चिन्ह नहीं बदलता। / Multiplying by positive (4) gives \(3x-2\geq 16\), so \(x\geq 6\). A positive denominator does not reverse the sign.
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If \(-2<x\leq 5\), what is the correct interval form?
A. ((-2,5])
(-2) शामिल नहीं है इसलिए गोल कोष्ठक और (5) शामिल है इसलिए वर्ग कोष्ठक लगेगा। दोनों सीमाओं को अलग जांचें। / (-2) is not included, so use a round bracket, and (5) is included, so use a square bracket. Check both boundaries separately.
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What is the solution of (14<2x+4)?
A. (x>5)
(10<2x) से (5<x), अर्थात (x>5) मिलता है। (5<x) और (x>5) समान हैं। / From (10<2x), we get (5<x), that is (x>5). (5<x) and (x>5) are the same.
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If (x-2<5), \(x\in\mathbb{Z}\), and \(x\geq 2\), which values are possible?
A. ({2,3,4,5,6})
(x-2<5) से (x<7) और \(x\geq 2\) है। इसलिए पूर्णांक मान ({2,3,4,5,6}) होंगे।
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Which statement about (x<-2) is correct?
A. (-2) हल में शामिल नहीं है(-2) is not included in the solution
कठोर असमानता (<) सीमा मान को शामिल नहीं करती। संख्या रेखा पर (-2) पर खुला वृत्त बनेगा। / The strict inequality (<) does not include the boundary value. On the number line, an open circle is drawn at (-2).
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Choose the solution of (5x+1>2x+16).
A. (x>5)
(3x>15) से (x>5) मिलता है। बराबरी नहीं है इसलिए (5) शामिल नहीं होगा। / From (3x>15), we get (x>5). Since equality is not present, (5) will not be included.
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If (x>0), what is true about (-2x)?
A. (-2x<0)
धनात्मक (x) को ऋणात्मक (-2) से गुणा करने पर परिणाम ऋणात्मक होता है। इसलिए (-2x<0) सही है। / Multiplying positive (x) by negative (-2) gives a negative result. Therefore (-2x<0) is correct.
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What is the boundary value in the inequality \(3x+7\leq x+19\)?
A. (6)
सीमा मान बराबरी लगाकर मिलता है: (3x+7=x+19), इसलिए (x=6)। सीमा मान से अंतिम अंतराल तय होता है। / The boundary value is found by using equality: (3x+7=x+19), so (x=6). The boundary value decides the final interval.
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Which inequality has the solution \(x\geq -1\)?
A. \(x+1\geq 0\)
\(x+1\geq 0\) से \(x\geq -1\) मिलता है। विकल्पों को हल करके मिलान करना उपयोगी तरीका है। / \(x+1\geq 0\) gives \(x\geq -1\). Solving and matching the options is a useful method.
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