Posted by Rick on Tuesday, October 25, 2011 at 11:32pm.
2x^2 + 5x - 3 < 0
(2x-1)(x+3) < 0
If a product is negative, one factor must be negative, the other positive. So, either
2x-1 > 0 and x+3 < 0
or
2x-1 < 0 and x+3 > 0
-3 < x < 1/2
Graph the function and you'll see this is the case
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