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}(C) {−8,−7,−6,−5}(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 less than −5. The inequality signs we will use are ≥ for greater than or equal to, and < for less than.
List Integers for 1st Condition: Now, let's list out the integers that satisfy the first condition, which is greater than or equal to −8. These integers are −8, −7, −6, −5, −4, and so on. However, we are also constrained by the second condition, which is less than −5.
Apply 2nd Condition: Next, we apply the second condition, which is less than −5. This means we cannot include −5 and any integer greater than −5. So, we eliminate −5, −4, and any larger integers from our list.
Eliminate Integers: After applying both conditions, 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: Finally, we match our set of integers with the given choices. The set of integers −8, −7, and −6 corresponds to choice (B).