SOLUTION: Help me solve this polynomial inequality {{{2x^>5x+3}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Help me solve this polynomial inequality {{{2x^>5x+3}}}      Log On


   

Question 240211: Help me solve this polynomial inequality 2x%5E%3E5x%2B3
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
2x%5E2+%3E+5x%2B3
:
2x%5E2-5x-3%3E0
Factor this and we have
(x-3)(2x+1) = 0
but the inequality will be
x > 3
and
2x < 1
x < 1%2F2
:
More apparent if you graph it
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x%5E2-5x-3%29+
note that it is greater than 0 below -.5 and above +3
:
You can see if you substitute x=+1, or x=+2, the inequality will not be true