Problem

Given two sets, Set A = {1, 2, 3, 4, 5} and Set B = {1, 2, 3, 4, 5, 6}, determine if Set A is a proper subset of Set B.

Answer

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Answer

Step 3: Since all elements of Set A are in Set B and Set B contains at least one element not in Set A, then Set A is a proper subset of Set B.

Steps

Step 1 :Step 1: Identify all elements in Set A and Set B. The elements of Set A are {1, 2, 3, 4, 5} and the elements of Set B are {1, 2, 3, 4, 5, 6}.

Step 2 :Step 2: Compare the elements of Set A to the elements of Set B. All elements of Set A are found within Set B, but Set B contains an extra element, 6, that is not found in Set A.

Step 3 :Step 3: Since all elements of Set A are in Set B and Set B contains at least one element not in Set A, then Set A is a proper subset of Set B.

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