Problem 5

Question

Let $A=\\{a, e, f, g, i\rangle, B=\\{b, d, e, g, h\\}, C=\\{d, e, f, h, i\\},$ and $U=\\{a, b, \ldots, k\\}$ Find each set. $$ (B \cap C)^{\prime} $$

Step-by-Step Solution

Verified

Answer

$(B \cap C)^{\prime} = \{a, b, c, f, g, i, j, k\}$

1Step 1: 1. Find the intersection of sets B and C

To find the intersection of sets B and C, we need to identify the elements present in both sets. We'll compare the sets and list the common elements: $B = \{b, d, e, g, h\}$ $C = \{d, e, f, h, i\}$ $B \cap C = \{d, e, h\}$

2Step 2: 2. Find the complement of the intersection relative to set U

Now, we will find the complement of the intersection set relative to the universal set U. This will include all elements in the set U, but not in the intersection set: $U = \{a, b, \ldots, k\}$ $B \cap C = \{d, e, h\}$ $(B \cap C)^{\prime} = \{a, b, c, f, g, i, j, k\}$ So, $(B \cap C)^{\prime} = \{a, b, c, f, g, i, j, k\}$.

Problem 5

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Problem 5

Let $A=\\{a, e, f, g, i\\}, B=\\{b, d, e, g, h\\}, C=\\{d, e, f, h, i\\},$ and $U=\\{a, b, \ldots, k\\}.$ Find each set. $$(B \cap C)^{\prime}$$

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