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 591 questions.
What is the solution of (2(3x-1)<5x+6)?
A. (x<8)
(6x-2<5x+6) से (x<8) मिलता है। दोनों ओर चर हों तो पहले समान पदों को अलग करें। / From (6x-2<5x+6), we get (x<8). When variables are on both sides, separate like terms first.
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If \(x\in\mathbb{R}\) and \(0\leq 4x-8<12\), what is the interval for (x)?
A. ([2,5))
\(0\leq 4x-8<12\) से \(8\leq 4x<20\) और \(2\leq x<5\) मिलता है। संयुक्त असमता में दोनों सिरों को साथ-साथ हल करें। / From \(0\leq 4x-8<12\), we get \(8\leq 4x<20\), hence \(2\leq x<5\). Solve both ends of a compound inequality together.
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If \(\frac{x+2}{5}\geq \frac{x-1}{2}\), which solution is correct?
A. \(x\leq 3\)
(10) से गुणा करने पर \(2x+4\geq 5x-5\) और \(9\geq 3x\) मिलता है। धनात्मक लघुत्तम समापवर्त्य से गुणा करने पर चिन्ह नहीं बदलता। / Multiplying by (10) gives \(2x+4\geq 5x-5\), so \(9\geq 3x\). Multiplication by a positive LCM does not change the sign.
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Which option is the combined solution of \(x\geq -2\) and (x<3)?
A. ([-2,3))
दोनों शर्तों को साथ लेने पर \(-2\leq x<3\) मिलता है। संयुक्त हल में दोनों असमताओं का प्रतिच्छेद लिया जाता है। / Taking both conditions together gives \(-2\leq x<3\). The combined solution is the intersection of both inequalities.
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Which option is the correct interval form of (x<-1) or \(x\geq 4\)?
A. (\(-\infty,-1\)\cup[4,\infty))
या का अर्थ दोनों हलों का संघ है। खुले और बंद सिरों को असमता के चिन्ह से मिलाएं। / Or means the union of the two solution sets. Match open and closed endpoints with the inequality signs.
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If (2x+3) is less than (11) and greater than (1), what is the solution for (x)?
A. (-1<x<4)
(1<2x+3<11) से (-2<2x<8) और (-1<x<4) मिलता है। वाक्य को पहले संयुक्त असमता में बदलें। / From (1<2x+3<11), we get (-2<2x<8), hence (-1<x<4). First convert the statement into a compound inequality.
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If \(x\in\mathbb{Z}\) and \(-5\leq x<2\), how many integer solutions are there?
A. (7)
हल (-5,-4,-3,-2,-1,0,1) हैं इसलिए कुल (7) हैं। खुले सिरे पर (2) शामिल नहीं है। / The solutions are (-5,-4,-3,-2,-1,0,1), so there are (7). The open endpoint (2) is not included.
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What is the simplest form of \(9\leq 3x+6\)?
A. \(x\geq 1\)
\(9\leq 3x+6\) से \(3\leq 3x\) और \(x\geq 1\) मिलता है। असमता उलटी लिखी हो तो भी अर्थ ध्यान से पढ़ें। / From \(9\leq 3x+6\), we get \(3\leq 3x\), hence \(x\geq 1\). Read the meaning carefully when the inequality is written in reverse order.
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If (x) is real, what is the solution of (-4x-1<7)?
A. (x>-2)
(-4x<8) से (x>-2) मिलता है। ऋणात्मक (-4) से भाग देने पर चिन्ह पलटता है। / From (-4x<8), we get (x>-2). Dividing by negative (-4) reverses the sign.
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Which statement is equivalent to \(x\leq 5\)?
A. \(5\geq x\)
\(x\leq 5\) को उलटकर लिखने पर \(5\geq x\) होता है। पक्ष बदलते समय चिन्ह की दिशा भी उलटी दिखती है। / Writing \(x\leq 5\) in reversed order gives \(5\geq x\). When switching sides, the visible direction of the sign also switches.
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