Determine whether each of the statements that follow is

Question

Question - True/False

Determine whether each of the statements that follow is true or false. If a statement is true, explain why. If a statement is false, provide a counterexample.

(a) True or False - The complement of a closed subset of R² is an open subset of R².

(b) True or False - Every subset of R² is either open or closed.

(c) True or False - There are subsets of R² that are both open and closed.