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 11-20 of 591 questions.
What is the solution of (x+4<9)?
A. (x<5)
दोनों ओर (4) घटाने पर (x<5) मिलता है। सरल असमानताओं में संतुलन विधि अपनाएँ। / Subtracting (4) from both sides gives (x<5). Use the balance method for simple inequalities.
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Which is the solution of \(x-3\le 7\)?
B. \(x\le 10\)
दोनों ओर (3) जोड़ने पर \(x\le 10\) मिलता है। \(\le\) का चिह्न जोड़ने से नहीं बदलता। / Adding (3) to both sides gives \(x\le 10\). The sign \(\le\) does not change by addition.
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What is the solution of (2x>10)?
A. (x>5)
दोनों ओर (2) से भाग देने पर (x>5) मिलता है। धनात्मक भाग में चिह्न नहीं बदलता। / Dividing both sides by (2) gives (x>5). Division by a positive number does not reverse the sign.
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Which is the correct solution of (-2x<8)?
B. (x> -4)
दोनों ओर (-2) से भाग देने पर चिह्न पलटेगा इसलिए (x>-4)। ऋणात्मक भाग में दिशा बदलना न भूलें। / Dividing by (-2) reverses the sign, so (x>-4). Do not forget sign reversal in negative division.
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Which (x) is a solution of \(3x\le 12\)?
B. (4)
(x=4) रखने पर \(3\cdot 4\le 12\) सत्य है। विकल्पों में मान रखकर जल्दी जाँच करें। / For (x=4), \(3\cdot 4\le 12\) is true. Substitute options for a quick check.
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Which value satisfies (2x+1>9)?
C. (5)
हल (x>4) है इसलिए (5) संतुष्ट करता है। पहले सीमा निकालें फिर विकल्प चुनें। / The solution is (x>4), so (5) satisfies it. First find the boundary, then choose the option.
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For \(x\ge -2\), which number line representation is correct?
B. (-2) पर बंद बिंदु और दाईं ओरClosed circle at (-2) and right side
\(\ge\) में (-2) शामिल है और बड़ी संख्याएँ दाईं ओर हैं। बंद बिंदु बराबरी को दिखाता है। / The sign \(\ge\) includes (-2), and greater numbers are to the right. A closed circle shows equality.
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Which inequality is represented by the interval (\(-\infty,5\))?
A. (x<5)
कोष्ठक ((5)) बताता है कि (5) शामिल नहीं है। (\(-\infty,5\)) का अर्थ (x<5) है। / The parenthesis at (5) shows that (5) is not included. (\(-\infty,5\)) means (x<5).
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What is the correct inequality form of the interval \([2,\infty\))?
B. \(x\ge 2\)
वर्ग कोष्ठक ([2) बताता है कि (2) शामिल है। दाईं ओर जाने का अर्थ \(x\ge 2\) है। / The square bracket at (2) shows that (2) is included. Moving right means \(x\ge 2\).
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Which value is not included in \(0\le x\le 6\)?
D. (7)
(7) संख्या (6) से बड़ी है इसलिए शामिल नहीं है। \(\le\) में केवल सीमा तक के मान आते हैं। / The number (7) is greater than (6), so it is not included. The sign \(\le\) includes values only up to the boundary.
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