all are right except (b).
Hey. This was a question I came across. What is the right answer?
If A and B are subsets of the Euclidean space,
and A + B ={x + y | x Є A and y Є B}. Then which of the following statements is false?
a) If A and B are bounded, then A + B is bounded
b) If A and B are closed, then A + B is closed
c) If A and B are open, then A + B is open
d) If A and B are connected, then A + B is connected.
I think options (a) and (b) are right. I am not so sure about openness and connectedness..