Question

Let 'A' and 'B' be subsets of a universal set 'U'. 1. Which of the following describes 'A cap B"?! • 1. The set of all elements of 'Uʻ that are elements of both 'A' and 'B'. • 2. The set of all elements of 'U' that are elements of either 'A' or 'B 3. The set of all elements of ‘Uʻ that are elements of neither ‘A’ nor 'B'. • 4. The set of all elements of 'U' that are elements of either 'A' or 'B' but not both. 2. Which of the following describes '(A cup B)""? • 1. The set of all elements of 'U' that are elements of both 'A' and 'B'. 2. The set of all elements of 'U' that are elements of either 'A' or 'B'. • 3. The set of all elements of 'U' that are elements of neither 'A' nor 'B'. • 4. The set of all elements of 'U' that are elements of either 'A' or 'B' but not both.

Answer 1

A ∩ B: 1. The set of all elements of 'Uʻ that are elements of both 'A' and 'B'.

A ∪ B: 2. The set of all elements of 'U' that are elements of either 'A' or 'B'.

Explanation:

1. The "intersection" symbol (∩) signifies the members that are in both sets. For example, {1, 2} ∩ {1, 3} = {1}.

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2. The "union" symbol (∪) signifies the members that are in either set. For example, {1, 2} ∪ {1, 3} = {1, 2, 3}.