# Math

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Solve the inequality.
Show all work
2x^2+5x<3

• Math -

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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