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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2*x-3 < 2/x // - 2/x
2*x-(2/x)-3 < 0
2*x-2*x^-1-3 < 0
2*x-2*x^-1-3 = 0
2*x^1-2*x^-1-3*x^0 = 0
(2*x^2-3*x^1-2*x^0)/(x^1) = 0 // * x^2
x^1*(2*x^2-3*x^1-2*x^0) = 0
x^1
2*x^2-3*x-2 = 0
2*x^2-3*x-2 = 0
DELTA = (-3)^2-(-2*2*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)+3)/(2*2) or x = (3-25^(1/2))/(2*2)
x = 2 or x = -1/2
x in { -1/2, 2}
(x+1/2)*(x-2) < 0
(-oo:-1/2) (-1/2:2) (2:+oo) x+1/2 - + + x-2 - - +
x in (-1/2:0) U (0:2)
(-1/2:0) U (0:2)
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