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){−4,0,1}(C){−3,−2,−1,0,1}(D){0,1}
Identify Inequality: Identify the inequality that represents the set of integers greater than −4 and less than or equal to 1. The inequality for greater than −4 is x > -4, and the inequality for less than or equal to 1 is x≤1. We need to find the intersection of these two inequalities.
Determine Integers: Determine the set of integers that satisfy both inequalities.Since we are looking for integers, we need to list the integers that are greater than −4 and at the same time less than or equal to 1. The integer immediately greater than −4 is −3.
List Integers: List all the integers between −3 and 1 inclusive.The integers that satisfy both conditions are −3, −2, −1, 0, and 1.
Match Choices: Match the list of integers with the given choices.The correct set of integers is {−3,−2,−1,0,1}, which corresponds to choice (C).