# How do you solve the inequality x^2+4<=4x and write your answer in interval notation?

Feb 13, 2017

There is only one solution $S = \left\{2\right\}$

#### Explanation:

Let's rewrite and factorise the inequality

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

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

${\left(x - 2\right)}^{2} \le 0$

There is only one solution,

$x = 2$