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Let D={−6,−2,1,5,6,11}D = \{-6, -2, 1, 5, 6, 11\} and E={−6,−2,1,4,5,11}E = \{-6, -2, 1, 4, 5, 11\}. What is D∩ED \cap E?\newlineChoices:\newline(A) {−6,−2,1,5,11}\{-6, -2, 1, 5, 11\}\newline(B) {−6,−2,1,4,5,6,11}\{-6, -2, 1, 4, 5, 6, 11\}\newline(C) {−6,1,4,5}\{-6, 1, 4, 5\}\newline(D) {−6,5}\{-6, 5\}

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Q. Let D={−6,−2,1,5,6,11}D = \{-6, -2, 1, 5, 6, 11\} and E={−6,−2,1,4,5,11}E = \{-6, -2, 1, 4, 5, 11\}. What is D∩ED \cap E?\newlineChoices:\newline(A) {−6,−2,1,5,11}\{-6, -2, 1, 5, 11\}\newline(B) {−6,−2,1,4,5,6,11}\{-6, -2, 1, 4, 5, 6, 11\}\newline(C) {−6,1,4,5}\{-6, 1, 4, 5\}\newline(D) {−6,5}\{-6, 5\}
  1. Understand Intersection Definition: Understand what D∩ED \cap E represents.\newlineThe intersection of two sets, D∩ED \cap E, includes all the elements that are common to both sets DD and EE.
  2. List Elements of D and E: List the elements of set DD and set EE.D={−6,−2,1,5,6,11}D = \{-6, -2, 1, 5, 6, 11\}E={−6,−2,1,4,5,11}E = \{-6, -2, 1, 4, 5, 11\}
  3. Identify Common Elements: Identify the common elements in both sets.\newlineThe common elements in both sets are: −6-6, −2-2, 11, 55, and 1111.
  4. Write Intersection of D and E: Write down the intersection of DD and EE.D∩E={−6,−2,1,5,11}D \cap E = \{-6, -2, 1, 5, 11\}
  5. Match with Choices: Match the result with the given choices.\newlineThe correct choice that matches our result is (A)−6,−2,1,5,11{-6, -2, 1, 5, 11}.

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