Match the LIST-I with LIST-II:
LIST-I LIST-II A. All real values of x satisfying (4x+1)<13 and (x+1)>3 lie in the interval I. (5, 6) B. All real x satisfying 1 ≤ (x²+1) < 5 lie in the interval II. (3, 4) C. All real x satisfying (x+7) < (3x+1) < (x+9) lie in interval III. (2, 3) D. All real x satisfying 5 < (4x-15) < 9 lie in interval IV. (-2, 2)
Choose the correct answer from the options given below:LIST-I का LIST-II से मिलान कीजिए:
LIST-I LIST-II A. वे सभी वास्तविक मान x जो (4x+1)<13 और (x+1)>3 को संतुष्ट करते हैं, किस अंतराल में स्थित हैं I. (5, 6) B. वे सभी वास्तविक x जो 1 ≤ (x²+1) < 5 को संतुष्ट करते हैं, किस अंतराल में स्थित हैं II. (3, 4) C. वे सभी वास्तविक x जो (x+7) < (3x+1) < (x+9) को संतुष्ट करते हैं, किस अंतराल में स्थित हैं III. (2, 3) D. वे सभी वास्तविक x जो 5 < (4x-15) < 9 को संतुष्ट करते हैं, किस अंतराल में स्थित हैं IV. (-2, 2)
नीचे दिए गए विकल्पों में से सही उत्तर चुनिए:
Pick an option to check yourself, or open the answer below.
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Correct answer: A. A-III, B-IV, C-I, D-II
Explanation
A: 4x+13 ⇒ x>2, so x∈(2,3) = III. B: 1≤x²+1option 1 (A-III, B-IV), it is selected as the best-supported answer, even though the C/D pairing in the source options appears to be interchanged.A: 4x+13 ⇒ x>2, अतः x∈(2,3) = III। B: 1≤x²+1विकल्प 1 में ही सही सुमेलित हैं (A-III, B-IV), अतः इसे सबसे उपयुक्त उत्तर माना गया है।More Mathematical Reasoning and Aptitude questions
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