Q. Which is the set of integers greater than or equal to −8 and less than −5?Choices:(A){−8,−5}(B){−8,−6}(C){−8,−7,−6,−5}(D){−8,−7,−6}
Identify Inequality Signs: Identify the inequality signs and the range of integers needed.We need to find the set of integers that are greater than or equal to −8 and less than −5.The inequality signs we are looking for are "greater than or equal to" (≥) and "less than" (<).
List Integers −8 or Greater: List the integers that satisfy the first condition (greater than or equal to −8).The integers greater than or equal to −8 are: −8, −7, −6, −5, −4, −3, and so on.
List Integers Less Than −5: List the integers that satisfy the second condition (less than −5).The integers less than −5 are: −6, −7, −8, −9, and so on.
Find Intersection of Sets: Find the intersection of the two sets from Step 2 and Step 3.The integers that are both greater than or equal to −8 and less than −5 are: −8,−7,−6.
Match with Choices: Match the resulting set with the given choices.The set of integers greater than or equal to −8 and less than −5 is {−8,−7,−6}, which corresponds to choice (D).