Question

Solve graphically.

Express answers in both inequality and interval notation.

$x^2\le 4x$

Answer 1

$x^2\le 4x$

$x^2-4x\le 0$

$x(x-4)\le 0$

	x<0	x=0	0<x<4	x=4	x>4
x-4	-	-	-	0	+
x	-	0	+	+	+
x(x-4)	+	0	-	0	+

$0\le x\le 4$

Interval notation $[0,4]$