Question

x^2>x

Answer 1

start with
\[x^2-x>0\]

Answer 2

k

Answer 3

then
\[x(x-1)>0\]
now
\[y=x(x-1)\] is a parabola that opens up, with zeros at 0 and 1. so it will be negative between the zeros, and positive outside them.

Answer 4

you want "positive" so the answer will be
\[(-\infty, 0)\cup(1,\infty)\]