Question

How do you graph the following absolute value inequality? I don't know the actual set up of it.
|x-1| > y-5

Answer 1

|x-1| > y-5

|x-1| + 5 > y

y < |x-1| + 5

Answer 2

to graph y < |x-1| + 5, you

step 1) graph y = |x-1| + 5

step 2) make this V graph a dashed line graph

step 3) shade below the dashed boundary line

Answer 3

Got it Jim! I think I can take it from there!!!! :)

Answer 4

ok great

Answer 5

So your vertex is (1,5)? And then all I have to do is plug in numbers after that? Well in this case the slope is 1.