Question 186651
{{{ t^2<3(2t-3)}}}
{{{t^2 - 6t + 9 < 0}}}
Plot the function {{{t^2 - 6t + 9}}}

{{{graph(400,400, -10, 10, -10,10, x^2 - 6x +9)}}}

Is it ever less than 0? No so there is no x where t^2 - 6t + 9 < 0


2)
{{{p/(p-16)+2/(p-6)<0}}}
{{{p(p-6) + 2(p-16) < 0}}}
{{{p^2 - 6p + 2p - 32 < 0}}}
{{{p^2 -4p - 32 < 0}}}

Plot that
{{{graph (400,400, -10,10, -10, 10, x^2 - 4x - 32)}}}
Is it ever less than 0? yes when -4 < x < 8 makes that true

Get geogebra if you want to plot these locally.
See http://collabvsl.wetpaint.com/page/Mathematics+Applications for info on how to get it