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Question
Find the solution set of the following inequalities and draw the graph of their solutions sets:
`|(x - 5)/(3)| < 6`
Solution
We have `|(x - 5)/(3)| < 6`
Using prop. | x | < a ⇒ - a < x < a
`|(x - 5)/(3)| < 6`
⇒ `-6< (x - 5)/(3) < 6`
⇒ -18< x -5 <18
⇒ 5 - 18< x <18 + 5
⇒ -13< x <23
So `|(x - 5)/(3)| < 6`
⇒ {x : - 13< x <23}
The graph of this set is 
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