Q. Which is the set of integers greater than −4 and less than or equal to 1?Choices:(A) {−3,−2,−1,0,1}(B) {0,1}(C) {−4,−3,−2,−1,0,1}(D) {−4,0,1}
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 and at the same time less than or equal to 1.
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 is included.
Compare with Choices: Starting just above −4, the first integer is −3. We continue to list the integers up to 1: −3, −2, −1, 0, 1.
Select Correct Set: Now we compare our list of integers with the given choices to find the correct set.(A) −3,−2,−1,0,1 matches our list.(B) 0,1 is missing several integers in the range.(C) −4,−3,−2,−1,0,1 includes −4, which should not be in the set.(D) −4,0,1 includes −4 and is missing −3,−2,−1.
Select Correct Set: Now we compare our list of integers with the given choices to find the correct set.(A) −3,−2,−1,0,1 matches our list.(B) 0,1 is missing several integers in the range.(C) −4,−3,−2,−1,0,1 includes −4, which should not be in the set.(D) −4,0,1 includes −4 and is missing −3,−2,−1.The correct set of integers that are greater than −4 and less than or equal to 1 is given by choice (A) −3,−2,−1,0,1.