Q. Which is the set of integers greater than −3 and less than or equal to 0?Choices:(A){−2,−1,0}(B){−2,−1}(C){−3,−2,−1,0}(D){−3,0}
Identify Inequality: Identify the inequality that represents the condition "greater than −3 and less than or equal to 0".The inequality for "greater than −3" is x > -3, and for "less than or equal to 0" is x≤0.
Determine Integers: Determine the set of integers that satisfy both conditions simultaneously.Since we are looking for integers, we need to list the integers that are between −3 (not included) and 0 (included).
List Satisfying Integers: List the integers that satisfy the conditions.The integers greater than −3 are −2, −1, 0, and so on. However, we are also limited by the condition that the integers must be less than or equal to 0. Therefore, the integers that satisfy both conditions are −2, −1, and 0.
Match with Choices: Match the set of integers found with the given choices.The set of integers that satisfy the conditions is {−2,−1,0}, which corresponds to choice (A).