Question

Solve graphically. Express answers in both inequality and interval notation.

$x^2\le 8x$

Answer 1

$x^2\le 8x$

$x^2-8x\le 0$

$x(x-8)\le 0$

	x<0	x=0	0<x<8	x=8	x>8
x-8	-	-	-	0	+
x	-	0	+	+	+
x(x-8)	+	0	-	0	+

$0\le x\le 8$

Interval notation $[0,8]$