Question
Download Solution PDFIf 1.5 ≤ x ≤ 4.5, then which one of the following is correct?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculations:
Given,1.5 ≤ x ≤ 4.5
So critical points are x = 1.5 = \(\frac 3 2\) or x = 4.5 = \(\frac 9 2\)
⇒ 2x - 3 = 0 or 2x - 9 = 0
Changing inequality into equality form
∴ (2x - 3)(2x - 9) = 0
As we can see in the wavy curve value of (2x - 3)(2x - 9) is negative.
(2x - 3)(2x - 9) ≤ 0
Hence option 4 is the correct answer.
Last updated on May 30, 2025
->UPSC has released UPSC NDA 2 Notification on 28th May 2025 announcing the NDA 2 vacancies.
-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.
->The NDA exam date 2025 has been announced for cycle 2. The written examination will be held on 14th September 2025.
-> Earlier, the UPSC NDA 1 Exam Result has been released on the official website.
-> The selection process for the NDA exam includes a Written Exam and SSB Interview.
-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.
-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential.