How do you solve #(x-1)(x-2)(x-3)<=0# using a sign chart?

1 Answer
Nov 9, 2016

Answer:

The answer is # x in ] -oo,1 ] uu [2, 3] #

Explanation:

Let #f(x)=(x-1)x-2)(x-3)#

Let's do the sign chart
#color(white)(aaaaa)##x##color(white)(aaaaa)##-oo##color(white)(aaaaa)##1##color(white)(aaaaa)##2##color(white)(aaaaa)##3##color(white)(aaaaa)##+oo#
#color(white)(aaaaa)##x-1##color(white)(aaaaa)##-##color(white)(aaaaa)##+##color(white)(aaaa)##+##color(white)(aaa)##+#
#color(white)(aaaaa)##x-2##color(white)(aaaaa)##-##color(white)(aaaaa)##-##color(white)(aaaa)##+##color(white)(aaa)##+#
#color(white)(aaaaa)##x-3##color(white)(aaaaa)##-##color(white)(aaaaa)##-##color(white)(aaaa)##-##color(white)(aaa)##+#
#color(white)(aaaaa)##f(x)##color(white)(aaaaaa)##-##color(white)(aaaaa)##+##color(white)(aaaa)##-##color(white)(aaa)##+#