Q. Which is the set of integers greater than −4 and less than or equal to 1?Choices:(A){−4,−3,−2,−1,0,1}(B){0,1}(C){−3,−2,−1,0,1}(D){−4,0,1}
Identify Inequality: Identify the inequality that represents the condition "greater than −4 and less than or equal to 1".The inequality for this condition is -4 < x \leq 1, where x is an integer.
List Integers: List the integers that satisfy the inequality -4 < x \leq 1. The integers greater than −4 are −3, −2, −1, 0, 1, 2, 3, ... and so on. However, we need to stop at 1 because the inequality states that −40 must be less than or equal to 1.
Select Integers: From the list of integers in Step 2, select the ones that satisfy the entire condition.The integers that are greater than −4 and less than or equal to 1 are −3, −2, −1, 0, and 1.
Match with Choices: Match the set of integers from Step 3 with the given choices.The correct set is {−3,−2,−1,0,1}, which corresponds to choice (C).