Q. Which is the set of integers greater than −3 and less than or equal to 0?Choices:(A){−3,−2,−1,0}(B){−3,0}(C){−2,−1,0}(D){−2,−1}
Identify Inequality: Identify the inequality that represents the condition "greater than −3 and less than or equal to 0".Inequality: -3 < x \leq 0
Determine Integers: Determine the set of integers that satisfy the inequality -3 < x \leq 0. The integers greater than −3 are −2, −1, 0, 1, 2, ... However, we also need to consider that x must be less than or equal to 0. Therefore, we exclude any integers greater than 0.
List Satisfying Integers: List the integers that satisfy both conditions: greater than −3 and less than or equal to 0.The integers that satisfy both conditions are −2, −1, and 0.
Match with Choices: Match the set of integers from Step 3 with the given choices.The correct set of integers is {−2,−1,0}, which corresponds to choice (C).