x^2>= x — step-by-step solution

Let's solve in

ℝ

x^{2} \geq x

You can factorize the expression:

x^{2} - x

into:

x \cdot (x - 1)

We study the sign of each factor of the product

⇥The expression

x

is zero at

x = 0

, it is negative before and positive after

⇥The expression

x - 1

is zero at

x = 1

, it is negative before and positive after

Let's draw up the sign table:

▶Solution found:

x \in (-∞, 0] \cup [1, +∞)