solve using the sign test 2x^2+5x-3<=0
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divide the numerical axis in to (-inf, -3), (-3,1/2), (1/2, inf), then in both (-inf, -3), and (1/2, inf) , 2x^2+5x-3 >0, since the parabola y=2x^2+5x-3 is open up, thus the solution is
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