Question

|x^2+2x|≤x

Answer 1

you can open up the modulus and get -x<x^2+2x<x

Answer 2

how do you solve though. i cant do it..

Answer 3

notice that x needs to be non-negative

Answer 4

and that \(2x>x\) for \(x>0\)

and thus \(x^2+2x>x\) for all \(x>0\)

Answer 5

therefore the only solution is...

Answer 6

is there a way to do this algebraically?

Answer 7

x<0 is not in the solution set