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Let F={2,4,8,16}F = \{2, 4, 8, 16\} and G={4}G = \{4\}. What is F∪GF \cup G?\newlineChoices:\newline(A) {4}\{4\}\newline(B) {2,4,8,16}\{2, 4, 8, 16\}\newline(C) {2,8,16}\{2, 8, 16\}\newline(D) {8,16}\{8, 16\}

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Write variable expressions for arithmetic sequencesright chevron icon

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Q. Let F={2,4,8,16}F = \{2, 4, 8, 16\} and G={4}G = \{4\}. What is F∪GF \cup G?\newlineChoices:\newline(A) {4}\{4\}\newline(B) {2,4,8,16}\{2, 4, 8, 16\}\newline(C) {2,8,16}\{2, 8, 16\}\newline(D) {8,16}\{8, 16\}
  1. Understand Union of Sets: First, let's understand what the union of two sets means. The union of two sets FF and GG, denoted by F∪GF \cup G, is the set of all elements that are in FF, or in GG, or in both. To find F∪GF \cup G, we simply combine all the unique elements from both sets without repeating any elements.
  2. List Elements of Sets: Now, let's list the elements of set FF and set GG. Set F={2,4,8,16}F = \{2, 4, 8, 16\} and set G={4}G = \{4\}. We can see that the element 44 is present in both sets FF and GG.
  3. Find Union F∪GF \cup G: To find the union F∪GF \cup G, we combine the elements of both sets while keeping only unique elements. Since 44 is already in set FF, we do not need to add it again. Therefore, F∪G={2,4,8,16}F \cup G = \{2, 4, 8, 16\}.

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