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प्रश्न: (log)(0. 5)(3-x)/(x+2)<0...

प्रश्न: `(log)_(0. 5)(3-x)/(x+2)<0`

Text Solution

Verified by Experts

` log_(0.5).(3-x)/(x+2) lt 0`
` or (3-x)/(x+2) gt (0.5)^(0)`
` or (3-x)/(x+2) gt 1 `
` or (3-x)/(x+2 ) - 1 gt 0`
` or (3-x-x-2)/(x+2) gt 0`
` or (2x-1)/(x+2) lt 0`
` or -2 lt xlt 1//2`
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