Q. Which is the set of integers greater than or equal to −8 and less than −5?Choices:(A){−8,−5}(B){−8,−7,−6,−5}(C){−8,−7,−6}(D){−8,−6}
Identify Inequality Signs: Let's first identify the inequality signs for the problem. We are looking for integers that are greater than or equal to −8 and also less than −5.Inequality signs: ≥ and <
List Integers: Now we need to list the integers that satisfy both conditions. The integers greater than or equal to −8 are −8,−7,−6,−5,−4, and so on. However, we also need these integers to be less than −5.
Eliminate Integers: We will now eliminate the integers that do not satisfy the second condition, which is being less than −5. This means we cannot include −5 and any integer greater than −5.
Match with Choices: After eliminating those integers, we are left with the integers −8, −7, and −6. These are the integers that are greater than or equal to −8 and less than −5.
Match with Choices: After eliminating those integers, we are left with the integers −8, −7, and −6. These are the integers that are greater than or equal to −8 and less than −5.We will now match our result with the given choices to find the correct set notation.(A) {−8,−5} includes −5, which should not be in the set.(B) {−8,−7,−6,−5} also includes −5, which should not be in the set.(C) {−8,−7,−6} does not include −5 and includes all integers greater than or equal to −8 and less than −5.(D) −73 is missing −7, which should be in the set.