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 61-70 of 591 questions.
What is the solution of (x+6<14)?
A. (x<8)
दोनों ओर (6) घटाने पर (x<8) मिलता है। पहले अतिरिक्त पद हटाएँ। / Subtracting (6) from both sides gives (x<8). First remove the extra term.
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Which is the correct solution of \(x-5\ge 1\)?
A. \(x\ge 6\)
दोनों ओर (5) जोड़ने पर \(x\ge 6\) मिलता है। जोड़ में चिह्न की दिशा नहीं बदलती। / Adding (5) to both sides gives \(x\ge 6\). Addition does not change the direction of the sign.
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What is the solution of (3x<21)?
A. (x<7)
दोनों ओर (3) से भाग देने पर (x<7) मिलता है। धनात्मक भाग में चिह्न वैसा ही रहता है। / Dividing both sides by (3) gives (x<7). Division by a positive number keeps the sign the same.
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What is the correct solution of \(-5x\ge 15\)?
B. \(x\le -3\)
(-5) से भाग देने पर चिह्न पलटता है इसलिए \(x\le -3\)। ऋणात्मक गुणांक पर सावधानी रखें। / Dividing by (-5) reverses the sign, so \(x\le -3\). Be careful with negative coefficients.
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Which value satisfies \(2x+3\le 11\)?
C. (x=4)
(x=4) रखने पर \(2\cdot4+3=11\) और \(11\le 11\) सत्य है। बराबरी वाला चिह्न सीमा मान को स्वीकार करता है। / For (x=4), \(2\cdot4+3=11\), and \(11\le 11\) is true. A sign with equality accepts the boundary value.
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Which value satisfies (4x-2>10)?
C. (x=4)
(x=4) रखने पर \(4\cdot4-2=14\) और (14>10) सत्य है। सख्त असमानता में सीमा मान नहीं चलता। / For (x=4), \(4\cdot4-2=14\), and (14>10) is true. A strict inequality does not include the boundary value.
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Which number line form is correct for \(x\ge -1\)?
B. (-1) पर बंद बिंदु और दाईं ओरClosed circle at (-1) and right side
\(\ge\) में सीमा शामिल होती है और बड़ी संख्याएँ दाईं ओर होती हैं। इसलिए (-1) पर बंद बिंदु और दाईं ओर रेखा बनेगी। / The sign \(\ge\) includes the boundary, and greater numbers are to the right. So use a closed circle at (-1) and shade right.
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Which inequality is represented by the interval (\(-\infty,9]\)?
B. \(x\le 9\)
वर्ग कोष्ठक (]) बताता है कि (9) शामिल है। (\(-\infty,9]\) का अर्थ \(x\le 9\) है। / The square bracket (]) shows that (9) is included. The interval (\(-\infty,9]\) means \(x\le 9\).
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What is the inequality form of the interval (\(4,\infty\))?
B. (x>4)
गोल कोष्ठक बताता है कि (4) शामिल नहीं है और मान दाईं ओर हैं। इसलिए (x>4) सही है। / The parenthesis shows that (4) is not included, and the values lie to the right. Therefore (x>4) is correct.
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Which value is not included in \(1\le x\le 5\)?
D. (6)
(6) संख्या (5) से बड़ी है इसलिए शामिल नहीं है। \(\le\) सीमा को शामिल करता है लेकिन उसके बाहर के मान नहीं। / The number (6) is greater than (5), so it is not included. The sign \(\le\) includes boundaries but not outside values.
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