SOLUTION: If 3 < x < 4 then, a) | x - 7 | < 3 b) | x - 5 | < 2 c) | x - 4 | < 3 d) | x - 3 | < 4 e) | x - 2 | < 5 The answer given in the guide is b. Can you please explain the solut

Algebra ->  Inequalities -> SOLUTION: If 3 < x < 4 then, a) | x - 7 | < 3 b) | x - 5 | < 2 c) | x - 4 | < 3 d) | x - 3 | < 4 e) | x - 2 | < 5 The answer given in the guide is b. Can you please explain the solut      Log On


   

Question 765399: If 3 < x < 4 then,
a) | x - 7 | < 3
b) | x - 5 | < 2
c) | x - 4 | < 3
d) | x - 3 | < 4
e) | x - 2 | < 5
The answer given in the guide is b.
Can you please explain the solution to me ?
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
the guide is incorrect and/or you have a typo in your writings:
|x-5|<2 means

-2 < x-5 < 2
which leads to
-2+5 < x-5+5 < 2+5
3 < x < 7

:(