SOLUTION: solve the inequality algebraically. so confused on this section. 2x^2+13x+6<0

Question 845350: solve the inequality algebraically.
so confused on this section.
2x^2+13x+6<0
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2x^2+13x+6<0
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Factor:
2x^2 + 12x+x + 6 < 0
Factor:
2x(x+6)+(x+6) < 0
Factor:
(x+6)(2x+1) < 0
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Draw a number and plot x = -6 and x = -1/2
Note: These are value x CANNOT take::
Check the three segments of the number line to find valid solutions::
(x+6)(2x+1) < 0
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Note: I use the + and - because you only want to know if the
product is less than zero.
If x = -10 you get:: -*- < 0 which is false
If x = -3 you get:: +*- < 0 which is true
If x = 0 you get:: +*+ < 0 which is false
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Solution set:: -6 < x < -1/2 or (-6,-1/2)
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Cheers,
Stan H.
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