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 151-160 of 591 questions.
If \(x\in [2,9]\), what is the inequality form?
B. \(2\le x<9\)
([2) बताता है कि (2) शामिल है और (9)) बताता है कि (9) शामिल नहीं है। इसलिए \(2\le x<9\) सही है। / The bracket ([2) shows (2) is included and (9)) shows (9) is not included. Hence \(2\le x<9\) is correct.
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If (p>q) then what is the correct relation between (-3p) and (-3q)?
B. (-3p<-3q)
ऋणात्मक संख्या से गुणा करने पर असमानता का चिन्ह उलट जाता है। यह माध्यम स्तर की सबसे सामान्य गलती है। / Multiplying by a negative number reverses the inequality sign. This is the most common medium-level mistake.
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What is the solution of the inequality (2x+5<13)?
A. (x<4)
पहले (5) घटाएँ फिर (2) से भाग दें इसलिए (x<4) मिलता है। चिन्ह तभी उलटेगा जब भाग ऋणात्मक संख्या से हो। / Subtract (5) first and then divide by (2) so (x<4). The sign reverses only when division is by a negative number.
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What is the solution of the inequality \(-4x+7\le 19\)?
B. \(x\ge -3\)
(7) घटाने पर \(-4x\le 12\) और (-4) से भाग देने पर चिन्ह उलटकर \(x\ge -3\) होगा। ऋणात्मक गुणांक पर विशेष ध्यान दें। / After subtracting (7) we get \(-4x\le 12\) and dividing by (-4) reverses the sign to \(x\ge -3\). Pay special attention to negative coefficients.
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Which inequality is satisfied by (x=2)?
C. \(5-x\ge 3\)
(x=2) रखने पर (5-2=3) और \(3\ge 3\) सत्य है। विकल्प जाँचते समय बराबरी वाले चिन्ह को न भूलें। / Putting (x=2) gives (5-2=3) and \(3\ge 3\) is true. While checking options do not ignore equality signs.
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How is \(x\le 5\) represented on the number line?
A. (5) पर भरा बिंदु और बाईं ओर छायाclosed dot at (5) and shading to the left
\(\le\) में बराबरी शामिल होती है इसलिए (5) पर भरा बिंदु बनेगा। छोटी संख्याएँ बाईं ओर होती हैं। / The symbol \(\le\) includes equality so a closed dot is placed at (5). Smaller numbers lie to the left.
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What is the interval form of the inequality \(3\le x<8\)?
B. ([3,8))
(3) शामिल है इसलिए ([ \ ) लगेगा और (8) शामिल नहीं है इसलिए (\ )) लगेगा। सीमा बिंदुओं पर बराबरी जाँचें। / The value (3) is included so use ([ \ ) and (8) is not included so use (\ )). Check equality at endpoints.
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Which value satisfies both (x>-2) and \(x\le 4\)?
C. (x=4)
(4>-2) और \(4\le 4\) दोनों सत्य हैं। संयुक्त असमानता में हर शर्त अलग से जाँचें। / Both (4>-2) and \(4\le 4\) are true. In a compound inequality check every condition separately.
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If \(x\in \mathbb{R}\) and \(x+3\ge 10\) then what is the correct solution for (x)?
A. \(x\ge 7\)
दोनों पक्षों से (3) घटाने पर \(x\ge 7\) मिलता है। समान संख्या घटाने से चिन्ह नहीं बदलता। / Subtracting (3) from both sides gives \(x\ge 7\). Subtracting the same number does not change the sign.
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What is the solution of the inequality \(\frac{x}{3}-2>1\)?
C. (x>9)
(2) जोड़ने पर \(\frac{x}{3}>3\) और (3) से गुणा करने पर (x>9) मिलता है। धनात्मक संख्या से गुणा करने पर चिन्ह वही रहता है। / Adding (2) gives \(\frac{x}{3}>3\) and multiplying by (3) gives (x>9). Multiplication by a positive number keeps the sign unchanged.
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