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Question

# Write in words how to read each of the following out loud. Then write the shorthand notation for each set. a.$\{ x \in U | x \in A$and$x \in B \}$, b.$\{ x \in U | x \in A$or$x \in B \}$, c.$\{ x \in U | x \in A$and$x \notin B \}$, d.$\{ x \in U | x \notin A \}$

Solution

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a.The set of all x in U such that x is in A and x is in B. The shorthand notation is A $\cap$ B.

b.The set of all x in U such that x is in A or x is in B. The shorthand notation is A $\cup$ B.

Since is simply theory, there is no need for explaining these exercises.

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