(a) Consider the set A = {x ER : x has a terminating decimal expression}. Is A countable or uncountable? Give a one-sentence justification for your answer. You can use results from the chapter notes. (b) Recall the definition of |A|=|B| for sets A and B, and use the definition to show that |N| = |{ : ne Z}|. You do not need to prove that the function you define is a bijection.

Suppose that f has a domain of [5, 13] and a range of [6, 16]. (a) What are the domain and range of the function y = f(x) + 2? (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol ∞ for infinity and the appropriate type of parenthesis "(", ")", "[", or "]" depending on whether the interval is open or closed.) D= R =