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Which is the set of integers greater than −4-4 and less than or equal to 11?\newlineChoices:\newline(A) {−3,−2,−1,0,1}\{-3, -2, -1, 0, 1\}\newline(B) {0,1}\{0, 1\}\newline(C) {−4,−3,−2,−1,0,1}\{-4, -3, -2, -1, 0, 1\}\newline(D) {−4,0,1}\{-4, 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) {−3,−2,−1,0,1}\{-3, -2, -1, 0, 1\}\newline(B) {0,1}\{0, 1\}\newline(C) {−4,−3,−2,−1,0,1}\{-4, -3, -2, -1, 0, 1\}\newline(D) {−4,0,1}\{-4, 0, 1\}
  1. Identify Range: Let's first identify the range of integers we are looking for. We need a set of integers that are greater than −4-4 and at the same time less than or equal to 11.
  2. List Whole Numbers: We know that integers are whole numbers, so we need to list the whole numbers that fall within the range -4, 1]\. The parenthesis means that \$ -4 is not included, and the square bracket means that 1 1 is included.
  3. Compare with Choices: Starting just above −4-4, the first integer is −3-3. We continue to list the integers up to 11: −3-3, −2-2, −1-1, 00, 11.
  4. Select Correct Set: Now we compare our list of integers with the given choices to find the correct set.\newline(A) −3,−2,−1,0,1{-3, -2, -1, 0, 1} matches our list.\newline(B) 0,1{0, 1} is missing several integers in the range.\newline(C) −4,−3,−2,−1,0,1{-4, -3, -2, -1, 0, 1} includes −4-4, which should not be in the set.\newline(D) −4,0,1{-4, 0, 1} includes −4-4 and is missing −3,−2,−1-3, -2, -1.
  5. Select Correct Set: Now we compare our list of integers with the given choices to find the correct set.\newline(A) −3,−2,−1,0,1{-3, -2, -1, 0, 1} matches our list.\newline(B) 0,1{0, 1} is missing several integers in the range.\newline(C) −4,−3,−2,−1,0,1{-4, -3, -2, -1, 0, 1} includes −4-4, which should not be in the set.\newline(D) −4,0,1{-4, 0, 1} includes −4-4 and is missing −3,−2,−1-3, -2, -1.The correct set of integers that are greater than −4-4 and less than or equal to 11 is given by choice (A) −3,−2,−1,0,1{-3, -2, -1, 0, 1}.

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