InterviewSolution
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InterviewSolution
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Solution set of the inequality `(log)_(0. 8)((log)_6(x^2+x)/(x+4)) |
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Answer» Correct Answer - D ` log_(0.8)(log_(6).(x^(2)+x)/(x+4)) lt 0` ` rArr log_(6). (x^(2)+x)/(x+4) gt 1 ` ` rArr (x^(2)+x)/(x+4) gt 6` ` rArr (x^(2)+x)/(x+4) - 6 gt 0` ` rArr (x^(2) - 5x - 24)/((x+4)) gt 0` ` rArr ((x-8)(x+3))/((x+4)) gt 0` From the sign scheme of ` ((x-8)(x+3))/((x+4))`, ` x in (-4, -3) cup (8, infty)`. |
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