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) {0,1,2,3}(C) {−1,0,1,2,3}(D) {−1,0,2,3}
Identify Inequality Signs: Identify the inequality signs and the range of integers needed.We are looking for integers that are greater than or equal to −1 and less than 4.The inequality signs we are using are ≥ for greater than or equal to, and < for less than.
List Integers: List the 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.
Apply Second Condition: Now, apply the second part of the condition, which is less than 4. From the list in Step 2, the integers less than 4 are: −1, 0, 1, 2, 3.
Combine Conditions: Combine both conditions to find the set of integers that are both greater than or equal to −1 and less than 4.The set of integers that satisfy both conditions is: {−1,0,1,2,3}.
Match with Choices: Match the set we found with the given choices.The set −1,0,1,2,3 matches with choice (C).