|x - 3| < 7
-7
-7+1
-6
-
-7
-
|x - 3| < 7
(x - 3)² < 49 ... That operation was allowed because both sides were non-negative.
x² - 6x + 9 < 49
x² - 6x - 40 < 0
(x + 4)(x - 10) < 0
-4 < x < 10
a = -4, b = 10
(x - 3)² < 49 ... That operation was allowed because both sides were non-negative.
x² - 6x + 9 < 49
x² - 6x - 40 < 0
(x + 4)(x - 10) < 0
-4 < x < 10
a = -4, b = 10
1
keywords: and,lt,If,then,Find,Find a and b : If |x - 3| < 7, then a < x - 2 < b