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Let D={8,14}D = \{8, 14\} and E={0,4,18}E = \{0, 4, 18\}. What is D∩ED \cap E?\newlineChoices:\newline(A){0,4,8,18}\{0, 4, 8, 18\}\newline(B){0,4,8,14,18}\{0, 4, 8, 14, 18\}\newline(C) ∅\emptyset \newline(D){0}\{0\}

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Write variable expressions for arithmetic sequencesright chevron icon

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Q. Let D={8,14}D = \{8, 14\} and E={0,4,18}E = \{0, 4, 18\}. What is D∩ED \cap E?\newlineChoices:\newline(A){0,4,8,18}\{0, 4, 8, 18\}\newline(B){0,4,8,14,18}\{0, 4, 8, 14, 18\}\newline(C) ∅\emptyset \newline(D){0}\{0\}
  1. Identify Elements: Identify the elements in set DD and set EE.Set D={8,14}\text{Set } D = \{8, 14\}Set E={0,4,18}\text{Set } E = \{0, 4, 18\}We need to find the common elements between set DD and set EE, which is the intersection of the two sets.
  2. Find Intersection: Find the intersection of set DD and set EE, denoted as D∩ED \cap E. To find D∩ED \cap E, we look for elements that are present in both set DD and set EE. Comparing the elements of set DD and set EE, we see that there are no common elements between them.
  3. Empty Set: Since there are no common elements between set DD and set EE, the intersection of DD and EE is the empty set.D∩E=∅D \cap E = \emptyset

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