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Question

If |9x|<23x, then find the range of xϵR

A
(,0)
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B
(,72)
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C
(,3)
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D
(16,8)
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Solution

The correct option is C (,72)
Given, |9x|<23x
Case 1: When 9x>0|9x|=9x
Then, 9x<23x
2x<7
x<72 -- (1)
Case 2: When 9x<0|9x|=(9x)
Then, 9+x<23x
4x<11
x<112 --- (2)
From, solutions 1,2, we get
x<72 or (,72)

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