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|x - 7| < |2x - 2|
(x - 7)² < (2x - 2)²
(x - 7)² - (2x - 2)² < 0
(x - 7 + 2x - 2) (x - 7 - 2x + 2) < 0
(3x - 9) (x - 5) < 0
⇒
3x - 9 < 0
3x < 9
x < 9/3
x < 3
⇒
x - 5 < 0
x < 5
HP: {x | x < 3 , x < 5}