How do you solve and graph #abs(3h-3)<12#?
Full explanation given
The | | are special brackets. They indicate that whatever is inside them is to be considered as positive.
To emphasize this point, suppose that instead of the < we had = giving us:
This would have to be the same as
So you would get 2 values for
Treating the | | as behaving just like brackets factor out the 3
divide both sides by 3
Just for the moment consider this as
add 1 to both sides
Now put back the 'absolute' brackets
For this to work we have the condition:
The plot of this on the number line looks like this:-
The 'hollow blobs' on the and of the red line (above) indicate that the actual values of 5 and -5 are not included.
The feasible region for