Q. Which is the set of integers greater than or equal to −1 and less than 4?Choices:(A) {0,1,2,3,4}(B) {−1,0,1,2,3}(C) {0,1,2,3}(D) {−1,0,2,3}
Identify Inequality Signs: Identify the inequality signs and the range of integers needed.We need to find the set of integers that are greater than or equal to −1 and less than 4.The inequality signs we are looking for are "greater than or equal to" (≥) and "less than" (<).
Determine Integers Greater Than −1: Determine the set of integers that satisfy the first part of the condition, which is greater than or equal to −1. The integers greater than or equal to −1 are −1, 0, 1, 2, 3, 4, 5, and so on.
Determine Integers Less Than 4: Determine the set of integers that satisfy the second part of the condition, which is less than 4. The integers less than 4 are ...,−2,−1,0,1,2,3.
Find Intersection of Sets: Find the intersection of the two sets from Step 2 and Step 3 to get the set of integers that satisfy both conditions.The intersection of the two sets is the set of integers that are both greater than or equal to −1 and less than 4.The set is {−1,0,1,2,3}.