Question 898365
i couldn't figure out which way the graph was trying to show.


i'll give you the two possibilities that i know of.


you could get:


x >= -6 and x <= 6


or you could get:


x <= -6 or x >= 6


let's assume x >= -6 and x <= 6


in absolute value form, this would be shown as:


|x| <= 6


if x is greater than or equal to 0, this becomes:


x <= 6


if x is smaller than 0, this becomes:


x >= -6


you get:


|x| <= 6 is equivalent to x >= -6 and x <= 6


x >= -6 and x <= 6 can also be shown as -6 <= x <= 6


now let's look at the other possibility.


the graph could be saying:


x <= -6 or x >= 6


in absolute value terms, the equation should show as:


|x| >= 6


if x is greater than or equal to 0, the equation becomes:


x >= 6


if x is smaller than 0, the equation becomes:


x <= - 6


you get:


|x| >= 6 is equivalent to x >= 6 or x <= -6