SOLUTION: solve the following inequalities. (x-5)(2x+7)<0

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Question 414479: solve the following inequalities.
(x-5)(2x+7)<0

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
solve the following inequalities.
f(x)=(x-5)(2x+7)<0
..
Critical points
x-5=0
x=5
2x+7=0
x=-7/2
Show critical points on number line.
For x>=5, f(x)>=0
For x<=-7/2, f(x)>=0
For -7/2< x <5, f(x)<0
Given problem states that f(x) must be <0
Solution:(-7/2,5)