Let A CIR, A . Refer to the definition of the interior of a set....

  

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Let A CIR, A ‡ Ø. Refer to the definition of the interior of a set. Define interior of A. Prove the following: = int A (i) int(int A) (ii) int (₁ A₁) = int A₁, where each A, CIR". (iii) int (NA) Cnint A₁, where each A, CIR. = int A. Let A CIR, A ‡ Ø. Refer to the definition of the interior of a set. Define interior of A. Prove the following: = int A (i) int(int A) (ii) int (₁ A₁) = int A₁, where each A, CIR". (iii) int (NA) Cnint A₁, where each A, CIR. = int A.