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Which is the set of integers greater than or equal to 00 and less than or equal to 66?\newlineChoices:\newline(A) {1,2,3,4,5,6}\{1, 2, 3, 4, 5, 6\}\newline(B) {0,1,2,3,4,5,6}\{0, 1, 2, 3, 4, 5, 6\}\newline(C) {1,6}\{1, 6\}\newline(D) ∅\emptyset

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Q. Which is the set of integers greater than or equal to 00 and less than or equal to 66?\newlineChoices:\newline(A) {1,2,3,4,5,6}\{1, 2, 3, 4, 5, 6\}\newline(B) {0,1,2,3,4,5,6}\{0, 1, 2, 3, 4, 5, 6\}\newline(C) {1,6}\{1, 6\}\newline(D) ∅\emptyset
  1. Identify Inequality Signs: Identify the inequality signs for the problem. We need to find the set of integers that are greater than or equal to 00 and less than or equal to 66. The inequality signs we are looking for are ＂greater than or equal to＂ (≥\geq) and ＂less than or equal to＂ (≤\leq).
  2. Translate to Set Notation: Translate the inequalities into set notation. The set notation for integers greater than or equal to 00 and less than or equal to 66 is {x ∣ 0≤x≤6}\{x \,|\, 0 \leq x \leq 6\}.
  3. List Satisfying Integers: List the integers that satisfy the inequality 0≤x≤60 \leq x \leq 6. These integers are 00, 11, 22, 33, 44, 55, and 66.
  4. Match with Choices: Match the list of integers with the given choices to find the correct set.\newline(A) {1,2,3,4,5,6}\{1, 2, 3, 4, 5, 6\} does not include 00, so it is not the correct set.\newline(B) {0,1,2,3,4,5,6}\{0, 1, 2, 3, 4, 5, 6\} includes all integers from 00 to 66, so it is the correct set.\newline(C) {1,6}\{1, 6\} only includes 11 and 66, so it is not the correct set.\newline(D) ∅\emptyset represents the empty set, which is not the correct set since there are integers that satisfy the inequality.

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