SOLUTION: May I have some help with this inequality? Solve the nonlinear inequality. Express the solution using interval notation. (x + 3)(x + 8) < 0

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Question 121749: May I have some help with this inequality?
Solve the nonlinear inequality. Express the solution using interval notation.

(x + 3)(x + 8) < 0

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
If x+%2B+3%3C+0 or x+%2B+8%3C+0, then %28x+%2B+3%29%28x+%2B+8%29+%3C+0
So, the solutions are:
x+%2B+3%3C+0…=>
x+%3C+-3…=>…. Or "{x | x is a real number, x < –3}",
"Interval notation" writes the solution as an interval "-infinity, -3 ",
and
x+%2B+8%3C+0…=>

x+%3C+-8…=>Or "{x | x is a real number, x < –8}",
"Interval notation" writes the solution as an interval " -infinity, -8 "

here is the graph:
+%28x+%2B+3%29%28x+%2B+8%29+%3C+0+
+x%5E2+%2B+8x++%2B+3x+%2B+24%3C+0+
+x%5E2+%2B+11x+%2B+24%3C+0+
Graph it as an equation, then shade part where +x%5E2+%2B+8x++%2B+3x+%2B+24%3C+0+

Solved by pluggable solver: PLOT a graph of a function
Plotting a graph:
graph%28+600%2C+400%2C+-15%2C+10%2C+-20%2C+20%2C+x%5E2%2B11x%2B24+%29
This solver uses formula rendering system and here's the actual formula that was plotted:

graph( 600, 400, -15, 10, -20, 20, x^2+11x+24 )