If [(x+13)/(x+8)]>0, then find the value of x.
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Answer:
∣
∣
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>
9
8
let x−13>0
=>
x−13
2
>
9
8
=>18>8x−104
=>18+104>8x
=>8x<122
=>x<
8
122
=>x<
4
61
=>x<15.25
If =>x−13<0
=>−
x−13
2
>
9
8
=>18<−8x+104
=>18−104<−8x
=>−8x>−86
=>x>
8
86
=>x>
4
43
=>x>10.75
Here, xϵ(10.75,13)∪(13,15.25)
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