Question 367267
{{{ 2x^2+x>1}}},
{{{ 2x^2+x-1>0}}},
{{{(2x-1)(x+1)>0}}}.  The critical values are 1/2 and -1. 
Using the test values -2, 0, and 1, it is easily found that the solution set is ({{{-infinity}}}, -1)U(1/2, {{{infinity}}}).