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Which is the set of integers greater than 7-7 and less than 1-1?\newlineChoices:\newline(A) {7,6,5,4,3,2,1}\{-7, -6, -5, -4, -3, -2, -1\}\newline(B) {6,4,2}\{-6, -4, -2\}\newline(C) {7,6,5,4,3,2}\{-7, -6, -5, -4, -3, -2\}\newline(D) {6,5,4,3,2}\{-6, -5, -4, -3, -2\}

Full solution

Q. Which is the set of integers greater than 7-7 and less than 1-1?\newlineChoices:\newline(A) {7,6,5,4,3,2,1}\{-7, -6, -5, -4, -3, -2, -1\}\newline(B) {6,4,2}\{-6, -4, -2\}\newline(C) {7,6,5,4,3,2}\{-7, -6, -5, -4, -3, -2\}\newline(D) {6,5,4,3,2}\{-6, -5, -4, -3, -2\}
  1. Identify Range of Integers: Identify the range of integers that satisfy the given conditions.\newlineWe are looking for integers that are greater than 7-7 and less than 1-1. This means we need to find all integers that fall between 7-7 and 1-1, not including 7-7 and 1-1 themselves.
  2. List Integers: List the integers that are greater than 7-7 but less than 1-1. Starting from the integer immediately greater than 7-7, which is 6-6, we count up to the integer immediately less than 1-1, which is 2-2. The list of integers is: 6-6, 5-5, 4-4, 3-3, 2-2.
  3. Match Choices: Match the list of integers to the given choices.\newlineThe list we have from Step 22 is: 6-6, 5-5, 4-4, 3-3, 2-2. We need to find which choice matches this list.\newline(A) includes 7-7 and 1-1, which should not be in the set.\newline(B) only includes every other integer between 7-7 and 1-1, which is not correct.\newline(C) includes 7-7, which should not be in the set.\newline(D) matches our list exactly.

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