Answer
$(-\infty,\infty)$
Work Step by Step
Simplify the Expression on one side
x^2+x+1>0
Since inequality works for all values of $x$ the solution set of all real numbers
$(-\infty,\infty)$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.