SOLUTION: please help me solve this. Solve the following inequality and graph it. x^2+3x<10

Algebra ->  Graphs -> SOLUTION: please help me solve this. Solve the following inequality and graph it. x^2+3x<10      Log On


   

Question 913025: please help me solve this. Solve the following inequality and graph it. x^2+3x<10
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B3x%3C10
x%5E2%2B3x-10%3C0 ....write 3x as -2x%2B5x
x%5E2-2x%2B5x-10%3C0group%0D%0A%0D%0A%7B%7B%7B%28x%5E2-2x%29%2B%285x-10%29%3C0...factor
x%28x-2%29%2B5%28x-2%29%3C0
+%28x-2%29%28x%2B5%29%3C0
solutions:

if %28x-2%29%3C0 => x%3C2
if
%28x%2B5%29%3C0=> x%3C-5
so, we use -5%3Cx%3C2
graph%28+600%2C+600%2C+-10%2C+10%2C+-15%2C+15%2Cx%5E2%2B3x-10%29%29+
shade part of parabola bellow x-axis