1. Prove that the set of all decimal numbers in the interval…
1. Prove that the set of all decimal numbers in the interval (0,1) that end in a string of zeros is countably infinite. (10 points) 2. Is the subset relation A R B if A is a subset of B, a partial order on the Powerset of a given set S? Is it a total order? Give reasons for your answer. (10 points)