# How do solve x^2<=4x and write the answer as a inequality and interval notation?

Dec 11, 2016

Set the equation to equal zero and solve.

#### Explanation:

${x}^{2} \le 4 x$

${x}^{2} - 4 x \le 0$

$x \left(x - 4\right) \le 0$

$x = 0 , x = 4$

$\therefore 0 \le x \le 4 \implies \left[0 , 4\right]$