Okay I have two questions that involve absolute value and inequalities that I am having some difficulty figuring/solving out....

Here they are,

Problem #1: Show that if |a-b|<s and |c-b|<t, then |a-c|<s+t

Next problem is a similar one to #1.

Problem #2: Show that if |x-1|<(e/3) , then |(3x+2)-5|<e

Any and all help is appreciated, thanks!