Solve the following inequality [x-5] <7

2 answers

|x-5| < 7
(x-5)^2 < 49
x^2 - 10x - 24 = 0
(x+2)(x-12) < 0
-2 < x < 12
or ...
x-5 < 7 and -x+5 < 7
x < 12 and x > -2

-2 < x < 12