State the definition of limit point. State the definitions of closure and of closed set.

each part below, indicate (by making suitable arguments) whether the following sets are open (yes/no), closed yes/no), and bounded (yes/no). Hint: You should probably graph the following sets. The straight line connecting the points (a, b) and (c,d) (including the endpoints) in R² where a < b

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b. Identify the systems from task (2a) that demonstrate closure, i.e., the result of the operation always produces an element in the set.c. Identify the systems from task (2a) that have an identity element.