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Solve log(2)|4-5x| gt 2....

Solve ` log_(2)|4-5x| gt 2`.

Text Solution

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The correct Answer is:
`x in (- infty, 0) cup(8/5, + infty)`
`|4-5x|gt 2^(2) = 4`
` or |(5x)/4 - 1| gt 1`
` rArr (5x)/4 - 1 gt 1`
` or (5x)/4 - 1 lt - 1`
`:. x gt 8/5 or x lt 0`
`rArr x in ( - infty, 0) cup(8/5, + infty)`
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