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Let D={12,15,17,19}D = \{12, 15, 17, 19\} and E={−15,−8,7,12,16,19}E = \{-15, -8, 7, 12, 16, 19\}. What is D∩ED \cap E?\newlineChoices:\newline(A) {12,19}\{12, 19\}\newline(B) {12}\{12\}\newline(C) {−15,−8,7,12,15,16,17,19}\{-15, -8, 7, 12, 15, 16, 17, 19\}\newline(D) {7,12,17,19}\{7, 12, 17, 19\}

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Q. Let D={12,15,17,19}D = \{12, 15, 17, 19\} and E={−15,−8,7,12,16,19}E = \{-15, -8, 7, 12, 16, 19\}. What is D∩ED \cap E?\newlineChoices:\newline(A) {12,19}\{12, 19\}\newline(B) {12}\{12\}\newline(C) {−15,−8,7,12,15,16,17,19}\{-15, -8, 7, 12, 15, 16, 17, 19\}\newline(D) {7,12,17,19}\{7, 12, 17, 19\}
  1. Identify Elements: Identify the elements of set DD and set EE.Set D={12,15,17,19}\text{Set } D = \{12, 15, 17, 19\}Set E={−15,−8,7,12,16,19}\text{Set } E = \{-15, -8, 7, 12, 16, 19\}
  2. Find Common Elements: Find the common elements in both sets DD and EE to determine the intersection D∩ED \cap E. The common elements are 1212 and 1919.
  3. Write Intersection Set: Write down the intersection set D∩ED \cap E with the common elements.\newlineD∩E={12,19}D \cap E = \{12, 19\}
  4. Match with Choices: Match the found intersection with the given choices.\newlineThe intersection {12,19}\{12, 19\} matches with choice (A).

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