# Math Help - Continuity problem

1. ## Continuity problem

Show that if f and g are uniformly continuous on a subset A of Reals, then f+g is uniformly continuous on A.

2. Originally Posted by gixxer998
Show that if f and g are uniformly continuous on a subset A of Reals, then f+g is uniformly continuous on A.
Note that $|(f+g)(x)-(f+g)(y)|\le |f(x)-f(y)|+|g(x)-g(y)|$