The following are Trueor False statements. If True, give a simple justi?cation. If False,justify, or better, give a counterexample.
1. (R,discrete) is acomplete metric space.
2. (Q,discrete) is a compact metric space.
3. Every continuous function from R to R maps an interval to aninterval.
4. The set {(x,y,z) :x2 ?y3 + sin(xy) < 2} is open inR3
