SOLUTION: Solve the inequality. 2x^2 + 5x + 2≤ 0

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Question 869916: Solve the inequality.
2x^2 + 5x + 2≤ 0

Found 2 solutions by Fombitz, josgarithmetic:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

Break up the number line into 3 regions.



Test the inequality in each region with a point.
, , ,, False
,,,, True
,,,, False
So the only region where the inequality is true is,

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
The roots of the quadratic expression are critical points. The orientation judged from the quadratic expression indicates that the inequality is satisfied for x between the critical points.

for or .

for .

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