pre calculus
posted by Amy on .
Solve the following inequality and write using interval notation
x^2  22/ x 4 >_ 7/2
this sign > has the slash underneath
Help me!

suspect you mean
(x^2 22)/(x4) >/= 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
so
x</=8 or x>/=4.5