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