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Which is the set of integers greater than 4-4 and less than or equal to 11?\newlineChoices:\newline(A){4,3,2,1,0,1}\{-4, -3, -2, -1, 0, 1\}\newline(B){4,0,1}\{-4, 0, 1\}\newline(C){3,2,1,0,1}\{-3, -2, -1, 0, 1\}\newline(D){0,1}\{0, 1\}

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Q. Which is the set of integers greater than 4-4 and less than or equal to 11?\newlineChoices:\newline(A){4,3,2,1,0,1}\{-4, -3, -2, -1, 0, 1\}\newline(B){4,0,1}\{-4, 0, 1\}\newline(C){3,2,1,0,1}\{-3, -2, -1, 0, 1\}\newline(D){0,1}\{0, 1\}
  1. Identify Inequality: Identify the inequality that represents the set of integers greater than 4-4 and less than or equal to 11. The inequality for greater than 4-4 is x > -4, and the inequality for less than or equal to 11 is x1x \leq 1. We need to find the intersection of these two inequalities.
  2. Determine Integers: Determine the set of integers that satisfy both inequalities.\newlineSince we are looking for integers, we need to list the integers that are greater than 4-4 and at the same time less than or equal to 11. The integer immediately greater than 4-4 is 3-3.
  3. List Integers: List all the integers between 3-3 and 11 inclusive.\newlineThe integers that satisfy both conditions are 3-3, 2-2, 1-1, 00, and 11.
  4. Match Choices: Match the list of integers with the given choices.\newlineThe correct set of integers is {3,2,1,0,1}\{-3, -2, -1, 0, 1\}, which corresponds to choice (C)(C).

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