suspect you mean
(x^2 -22)/(x-4) >/= -7/2
2x^2 - 44 >/= -7 x + 28
2 x^2 + 7 x - 72 >/= 0
for very large positive x this is true
for very large negative x this is true
where is it not true?
(it is a parabola)
when is that zero?
x = [ -7 +/- sqrt (625)]/4
= [-7 +/-25]/4
x = -8 or x = 4.5
x</=-8 or x>/=4.5
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