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.
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