Question 156533: Describe the differences in the graphs of |X|>A and |X| less than A, where A is a positive real number Answer by gonzo(654) (Show Source):
You can put this solution on YOUR website! let y = A
let x = X
equation becomes y < |x| and y > |x|
x can be any real number but y will always be positive since it equals the absolute value of x.
if you graph y = |x| then you can plot some points to see what the resulting line looks like.
x y
-20 20
-10 10
0 0
10 10
20 20
""
now if you look at y < |x| it will be the shaded area under the graphed line.
if you look at y > |x| it will be the shaded area over the graphed line.
as an example, take one of the plots (say x = -20).
then y = absolute value of -20 = 20.
y < 20 is any plot of y less than 20 which is the area under the graphed point.
y > 20 is any plot of y greater than 20 which is the area over the graphed point.
(