Q. Which is the set of integers greater than −4 and less than or equal to 1?Choices:(A){−4,0,1}(B){−3,−2,−1,0,1}(C){−4,−3,−2,−1,0,1}(D){0,1}
Identify Range of Integers: Identify the range of integers that satisfy the given conditions.We are looking for integers that are greater than −4 and less than or equal to 1. This means we need to find all integers that fall between −4 (not included) and 1 (included).
List Satisfying Integers: List the integers that satisfy the first condition (greater than −4).The integers greater than −4 are −3, −2, −1, 0, 1, 2, 3, and so on. However, we are only interested in those that are also less than or equal to 1.
Apply Second Condition: Apply the second condition (≤1) to the list from Step 2.From the list of integers greater than −4, we select those that are also less than or equal to 1, which are −3, −2, −1, 0, and 1.
Match to Given Choices: Match the resulting set of integers to the given choices.The set of integers that are greater than −4 and less than or equal to 1 is {−3,−2,−1,0,1}. This corresponds to choice (B).