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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5/x-8 < (7/4)*x-4 // - (7/4)*x-4
5/x-((7/4)*x)-8+4 < 0
(-7/4)*x+5/x-8+4 < 0
(-7/4)*x+5/x-8+4 = 0
5*x^-1-7/4*x^1-4*x^0 = 0
(5*x^0-7/4*x^2-4*x^1)/(x^1) = 0 // * x^2
x^1*(5*x^0-7/4*x^2-4*x^1) = 0
x^1
(-7/4)*x^2-4*x+5 = 0
(-7/4)*x^2-4*x+5 = 0
DELTA = (-4)^2-(4*5*(-7/4))
DELTA = 51
DELTA > 0
x = (51^(1/2)+4)/(2*(-7/4)) or x = (4-51^(1/2))/(2*(-7/4))
x = -2/7*(51^(1/2)+4) or x = -2/7*(4-51^(1/2))
x in { -2/7*(51^(1/2)+4), -2/7*(4-51^(1/2))}
(x+2/7*(51^(1/2)+4))*(x+2/7*(4-51^(1/2))) < 0
(-oo:-2/7*(51^(1/2)+4)) (-2/7*(51^(1/2)+4):-2/7*(4-51^(1/2))) (-2/7*(4-51^(1/2)):+oo) x+2/7*(51^(1/2)+4) - + + x+2/7*(4-51^(1/2)) - - +
x in (-2/7*(51^(1/2)+4):0) U (0:-2/7*(4-51^(1/2)))
(-2/7*(51^(1/2)+4):0) U (0:-2/7*(4-51^(1/2)))
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