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Which is the set of integers greater than 4-4 and less than or equal to 11?\newlineChoices:\newline(A) {0,1}\{0, 1\}\newline(B) {3,2,1,0,1}\{-3, -2, -1, 0, 1\}\newline(C) {4,0,1}\{-4, 0, 1\}\newline(D) {4,3,2,1,0,1}\{-4, -3, -2, -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) {0,1}\{0, 1\}\newline(B) {3,2,1,0,1}\{-3, -2, -1, 0, 1\}\newline(C) {4,0,1}\{-4, 0, 1\}\newline(D) {4,3,2,1,0,1}\{-4, -3, -2, -1, 0, 1\}
  1. Identify Inequality Condition: Identify the inequality that represents the condition "greater than 4-4 and less than or equal to 11".\newlineThe inequality for this condition is -4 < x \leq 1, where xx is an integer.
  2. Determine Satisfying Integers: Determine the set of integers that satisfy the inequality -4 < x \leq 1. The integers greater than 4-4 are 3,2,1,0,1,2,3,-3, -2, -1, 0, 1, 2, 3, \ldots However, we also need to consider that xx must be less than or equal to 11. Therefore, we exclude any integers greater than 11.
  3. List Satisfying Integers: List the integers that satisfy both conditions.\newlineThe integers that are greater than 4-4 and less than or equal to 11 are: 3-3, 2-2, 1-1, 00, 11.
  4. Match with Choices: Match the set of integers from Step 33 with the given choices.\newlineThe correct set of integers is (B){3,2,1,0,1}(B)\{-3, -2, -1, 0, 1\}.

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