Q. Which is the set of integers greater than −3 and less than or equal to 0?Choices:(A){−3,−2,−1,0}(B){−2,−1}(C){−2,−1,0}(D){−3,0}
Identify Range of Integers: Let's first identify the range of integers we are looking for. We need a set of integers that are greater than −3 and at the same time less than or equal to 0.
Consider Greater Than −3: Now, let's consider the inequality greater than −3. This means we are looking for integers that are −2, −1, 0, and so on, but not −3 itself because the inequality is strict (not including −3).
Consider Less Than or Equal to 0: Next, let's consider the inequality less than or equal to 0. This means we are looking for integers that are 0, −1, −2, and so on, up to and including 0.
Combine Both Inequalities: Combining both inequalities, we need to find integers that satisfy both conditions: greater than −3 and less than or equal to 0. This means we are looking for the set of integers that start from −2 (the first integer greater than −3) and go up to 0 (the last integer that is less than or equal to 0).
Set of Integers: The set of integers that satisfy both conditions is {−2,−1,0}. This set includes all integers that are greater than −3 and less than or equal to 0.