# How do you solve and graph #abs(3h-3)<12#?

##### 1 Answer

Full explanation given

#### Explanation:

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

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Given:

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

Write as

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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