Answer
$(-\infty,-1]\cup\left[\frac{3}{2},\infty\right)$
Work Step by Step
$2x^2\geq x+3$ (Subtract $x+3$)
$2x^2-x-3\geq 0$ (Factor)
$(x+1)(2x-3)\geq 0$
The solution is $(-\infty,-1]\cup\left[\frac{3}{2},\infty\right)$.
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