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 31-40 of 584 questions.
What is the solution of the inequality (3(x-1)>x+5)?
A. (x>4)
(3x-3>x+5) से (2x>8), इसलिए (x>4)। कोष्ठक में ऋण चिह्न को ध्यान से संभालें। / From (3x-3>x+5), we get (2x>8), so (x>4). Handle the minus sign inside brackets carefully.
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What is the solution of the inequality \(\frac{x+2}{3}<5\)?
A. (x<13)
(3) से गुणा करने पर (x+2<15), इसलिए (x<13)। धनात्मक हर से गुणा करने पर चिह्न नहीं बदलता। / Multiplying by (3) gives (x+2<15), so (x<13). Multiplying by a positive denominator does not change the sign.
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What is the solution of the inequality \(\frac{3x-2}{2}\ge 5\)?
A. \(x\ge 4\)
(2) से गुणा करने पर \(3x-2\ge 10\), इसलिए \(x\ge 4\)। भिन्न हटाकर सरल रैखिक असमानता बनाएं। / Multiplying by (2) gives \(3x-2\ge 10\), so \(x\ge 4\). Remove the fraction to form a simple linear inequality.
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If (x) is a whole number and \(x\le 3\), what is the solution set?
A. \({0,1,2,3}\)
पूर्ण संख्याएं (0) से शुरू होती हैं, इसलिए (0,1,2,3) शामिल हैं। \(\le\) के कारण (3) भी शामिल है। / Whole numbers start from (0), so (0,1,2,3) are included. Because of \(\le\), (3) is also included.
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What is the solution of the inequality (x-7>-2)?
A. (x>5)
दोनों पक्षों में (7) जोड़ने पर (x>5) मिलता है। जोड़ या घटाव में असमानता का चिह्न नहीं बदलता। / Adding (7) to both sides gives (x>5). Addition or subtraction does not change the inequality sign.
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What is the solution of the inequality \(x+6\le -1\)?
A. \(x\le -7\)
दोनों पक्षों से (6) घटाने पर \(x\le -7\)। ऋणात्मक उत्तर आने पर भी जोड़-घटाव से चिह्न नहीं बदलता। / Subtracting (6) from both sides gives \(x\le -7\). Even with a negative answer, addition or subtraction does not change the sign.
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What is the solution of the inequality (-4x<16)?
A. (x>-4)
(-4) से भाग देने पर चिह्न पलटता है और (x>-4) मिलता है। ऋणात्मक गुणांक सबसे आम गलती है। / Dividing by (-4) reverses the sign and gives (x>-4). A negative coefficient is the most common mistake.
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What is the solution of the inequality \(6-2x\ge 0\)?
A. \(x\le 3\)
\(-2x\ge -6\), इसलिए (-2) से भाग देने पर \(x\le 3\)। ऋणात्मक से भाग देते समय चिह्न पलटें। / We get \(-2x\ge -6\), so division by (-2) gives \(x\le 3\). Reverse the sign while dividing by a negative number.
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What is the solution of the inequality (7x+2<3x+18)?
A. (x<4)
(3x) घटाने पर (4x+2<18), इसलिए (x<4)। पहले चर पदों को एक तरफ लाएं। / Subtracting (3x) gives (4x+2<18), so (x<4). First bring variable terms to one side.
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What is the solution of the inequality \(9x-5\ge 4x+20\)?
A. \(x\ge 5\)
(4x) घटाने और (5) जोड़ने पर \(5x\ge 25\), इसलिए \(x\ge 5\)। बराबरी का चिह्न अंत में भी रखें। / Subtracting (4x) and adding (5) gives \(5x\ge 25\), so \(x\ge 5\). Keep the equality part till the end.
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