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Solve (3/4)^(6x+10-x^(2)) lt 27/64....

Solve` (3/4)^(6x+10-x^(2)) lt 27/64`.

Text Solution

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The correct Answer is:
` -1 lt x lt 7`
`(3/4)^(6x+10-x^(2)) lt27/64`
` rArr(3/4)^(6x+10-x^(2)) lt (3/4)^(3)`
`rArr 6x + 10 - x^(2) gt 3`
` rArr x^(2) - 6x - 7 lt 0`
` rArr (x+1)(x-7) lt 0`
` rArr -1 lt x lt 7`
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