Determine the interval of values of x if |3x+5|

To find the interval values for |3x+5| <
10

Solution:

If3x+5 >
0, the 3x+5 <10 by definition

3x< 10-5
=5

x < 5/3.

If 3x+5
< 0, then 3x+5 > -10 by definition.

3x
> -10+5 = -5

x >
-5/3.

So combining the two
possibilities,

-5/3 <x < 5/3 Or x belongs to
the open interval (-5/3 , 5/3)