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If A = {1, 3, 5, 15}, B = {2, 3, 5, 7}, C = {2, 4, 6, 8} Then what is (A U B) ∩ C?

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MrRoyalidn

Answer:

[tex]A\ u\ B\ n\ C = \{2\}[/tex]

Step-by-step explanation:

Given

[tex]A = \{1, 3, 5, 15\}[/tex]

[tex]B = \{2, 3, 5, 7\}[/tex]

[tex]C = \{2, 4, 6, 8\}[/tex]

Required

Determine (A U B) ∩ C

First, we calculate A u B

[tex]A\ u\ B = \{1,3,5,15\} \ u\ \{2,3,5,7\}[/tex]

This means that we bring A and B together without repetition.

[tex]A\ u\ B = \{1,2,3,5,7,15\}[/tex]

Next:

[tex]A\ u\ B\ n\ C = \{1,2,3,5,7,15\}\ n\ \{2,4,6,8\}[/tex]

This means that we only get the common items

[tex]A\ u\ B\ n\ C = \{2\}[/tex]

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