Question

How can i do this
Graph the solution on a number line for this equation:
(x-6)(x-2)<0

Answer 1

http://www.wolframalpha.com/input/?i=%28x-6%29%28x-2%29

The graph shows that the left side will be zero when x=6 and 2

Answer 2

but we want it to be lower than zero so that means that our values for y have to be below zero or as the graph shows between 2 and 6

Answer 3

between 2 and 6 for x

Answer 4

oh so i just make both of the factored thing equal to zero

Answer 5

nevermind, i just read the other reply

Answer 6

well yeah it shows you right there (x-6)(x-2)

when you plug in x=2 you have 2-2=0 on the right factor right. same goes with the left factor.

Answer 7

Since this is concave up the x values have to be between 2 and 6

if this was concave down then the x values would be below 2 and higher than 6.