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Let J={1,3,5,7,9}J = \{1, 3, 5, 7, 9\} and K={2}K = \{2\}. What is JKJ \cup K?\newlineChoices:\newline(A){1,2,3,5,7,9}\{1, 2, 3, 5, 7, 9\}\newline(B) \emptyset \newline(C){2,9}\{2, 9\}\newline(D){1,5,7}\{1, 5, 7\}

Full solution

Q. Let J={1,3,5,7,9}J = \{1, 3, 5, 7, 9\} and K={2}K = \{2\}. What is JKJ \cup K?\newlineChoices:\newline(A){1,2,3,5,7,9}\{1, 2, 3, 5, 7, 9\}\newline(B) \emptyset \newline(C){2,9}\{2, 9\}\newline(D){1,5,7}\{1, 5, 7\}
  1. Define Sets: The question prompt asks us to find the union of two sets JJ and KK. The union of two sets is the set containing all the elements that are in either set. \newlineJ={1,3,5,7,9}J = \{1, 3, 5, 7, 9\}\newlineK={2}K = \{2\}\newlineTo find JKJ \cup K, we simply combine all unique elements from both sets.
  2. Combine Elements: Combining the elements from both sets, we get:\newlineJK={1,2,3,5,7,9}J \cup K = \{1, 2, 3, 5, 7, 9\}\newlineWe ensure that there are no repeated elements and that all elements from both sets are included.

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