math
posted by joe .
(x3)/(x+5)< 2
i've asked so many ppl, but they all give me different answers :(
Well if the expression is less than two, and the abs function is positive, then the ratio is between 0 and 2. Lets look inside the abs function, it can be negative, because the abs will make it positive.
If that is so, then...
2 < (x3)/(x+5)<2 multiply the expression by x+5
2 (x+5)< (x3) <2(x+5)
2x 10 < x3 < 2x +10
10 < x3+ 2x < 4x +10
Now, examining this part 10 < x3+ 2x
or 7 <3x
or x > 7/3
x>2.33333 Examining the other part.. x3+ 2x < 4x +10
3 < 3x +10
13 < 3x
x > 13/3 x> 4.3333 but both of these must occur, so x> 2.333..
Now to check it. Let x=2, 4, and 5(it should not check on this one. Let me know if you have difficulty.
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