SOLUTION: {{{X^2-px+4>0}}} then |p|

Question 1038912: then |p|
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.
then |p|
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

   = 

=  = 

=  + .   (1)

In (1), the addend    can be done an arbitrary small by choosing  "x",  but  the entire sum (1) remains positive, according to the condition.
It means that the second addend   > 0,  or,  in other words,
 < 4.

Hense,   < 2,   or   < 4.

QED.

Answer.  |p| < 4.

Three plots are shown below with p=3, 4, and 5.

Figure. Plots of functions y = , p = 3 (red), 4 (green) and 5 (blue).

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