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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) \emptyset \newline(B){1,2,3,4,5,6}\{1, 2, 3, 4, 5, 6\}\newline(C){0,1,2,3,4,5,6}\{0, 1, 2, 3, 4, 5, 6\}\newline(D){1,6}\{1, 6\}

Full solution

Q. Which is the set of integers greater than or equal to 00 and less than or equal to 66?\newlineChoices:\newline(A) \emptyset \newline(B){1,2,3,4,5,6}\{1, 2, 3, 4, 5, 6\}\newline(C){0,1,2,3,4,5,6}\{0, 1, 2, 3, 4, 5, 6\}\newline(D){1,6}\{1, 6\}
  1. Understand the problem: Understand 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. This means we are looking for whole numbers within this range, including the endpoints 00 and 66.
  2. List the integers: List the integers starting from 00 up to 66. These integers are 00, 11, 22, 33, 44, 55, and 66. This set includes all the integers that are greater than or equal to 00 and less than or equal to 66.
  3. Match with given choices: Match the set from Step 22 with the given choices. The set 0,1,2,3,4,5,6{0, 1, 2, 3, 4, 5, 6} corresponds to choice (C)(C).
  4. Verify correct answer: Verify that none of the other choices match the criteria. Choice (A) is the empty set, which does not include any numbers. Choice (B) does not include 00. Choice (D) only includes 11 and 66, missing the other integers in the range. Therefore, choice (C) is the correct answer.

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