SOLUTION: This problem is not from my textbook it is a worksheet problem. Identify the solution set for the inequality. x2+4x<2x+8 The answer choices are (-4,2) (2,4) (-oo,-4) u (2,oo

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: This problem is not from my textbook it is a worksheet problem. Identify the solution set for the inequality. x2+4x<2x+8 The answer choices are (-4,2) (2,4) (-oo,-4) u (2,oo      Log On


   



Question 127625: This problem is not from my textbook it is a worksheet problem.
Identify the solution set for the inequality.
x2+4x<2x+8
The answer choices are
(-4,2)
(2,4)
(-oo,-4) u (2,oo)
[-4, 2]

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B4x+%3C+2x+%2B+8 Subtract 2x from both sides of the inequality.
x%5E2%2B2x+%3C+8 Subtract 8 from both sides.
x%5E2%2B2x-8+%3C+0 Factor the trinomial.
%28x-2%29%28x%2B4%29+%3C+0 so...
x-2+%3C+0 or x%2B4+%3C+0
x-2+%3C+0 Add 2 to both sides.
x+%3C+2
x%2B4+%3C+0 Subtract 4 from both sides.
x+%3C+-4
The solution set looks like: [-4, 2]