Question: Suppose E? R is connected. a) Prove or disprove Int(E) is connected.See discussion #9 for the definition of Int(E). b) Prove or disprove ?E is

Suppose E? R is connected.

a) Prove or disprove Int(E) is connected.See discussion #9 for the definition of Int(E).

b) Prove or disprove ?E is connected.

Suppose E? R is connected. a) Prove or disprove

Denition. Let E be a set of real numbers. Any point :1: that belongs to E is said to be an interior point of E provided that some interval (mc,:r:+c)CE where c > 0. The causation of all interior points of E is the interior of E and is denoted Int(E) or E\

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