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Question
Find the solution set of the following inequalities and draw the graph of their solutions sets:
| x - 1 | > 3
Solution
We have
| x - 1 | > 3
Using prop. | x | ≥ a ⇔ ≥ a or x ≤ - a
Then | x - 1 | > 3 ⇔ x - 1 > 3 or x - 1 < (-3)
⇒ x > 4 or x < - 2
so | x - 1 | > 3 {x : x < -2 or x > 4}
The graph of this set is 
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