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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(7/2)*x-(2/x) > 3/2 // - 3/2
(7/2)*x-(2/x)-(3/2) > 0
(7/2)*x-2*x^-1-3/2 > 0
(7/2)*x-2*x^-1-3/2 = 0
7/2*x^1-2*x^-1-3/2*x^0 = 0
(7/2*x^2-3/2*x^1-2*x^0)/(x^1) = 0 // * x^2
x^1*(7/2*x^2-3/2*x^1-2*x^0) = 0
x^1
(7/2)*x^2+(-3/2)*x-2 = 0
(7/2)*x^2+(-3/2)*x-2 = 0
DELTA = (-3/2)^2-(-2*4*(7/2))
DELTA = 121/4
DELTA > 0
x = ((121/4)^(1/2)-(-3/2))/(2*(7/2)) or x = (-(-3/2)-(121/4)^(1/2))/(2*(7/2))
x = 1 or x = -4/7
x in { -4/7, 1}
(x+4/7)*(x-1) > 0
(-oo:-4/7) (-4/7:1) (1:+oo) x+4/7 - + + x-1 - - +
x in (-oo:-4/7) U (1:+oo)
(-oo:-4/7) U (1:+oo)
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