Q. Which is the set of integers greater than or equal to −8 and less than −5?Choices:(A){−8,−7,−6,−5}(B){−8,−5}(C){−8,−6}(D){−8,−7,−6}
Identify Inequality: Identify the inequality that represents the set of integers greater than or equal to −8 and less than −5. The inequality for greater than or equal to is ≥ and for less than is <. So we are looking for integers x such that -8 \leq x < -5.
List Integers: List the integers that satisfy the inequality -8 \leq x < -5.Starting from −8, we count up but do not include −5 because the inequality is strict x < -5.The integers that satisfy this are −8, −7, and −6.
Match Choices: Match the list of integers to the given choices.The list of integers we found is −8,−7,−6, which corresponds to choice (D).