Which is the set of integers greater than or equal to −3 and less than or equal to2?Choices:(A) {1,2}(B) {−3,−2,−1}(C) {−3,−2,−1,0,1,2}(D) {−2,−1,0,1,2}
Q. Which is the set of integers greater than or equal to −3 and less than or equal to 2?Choices:(A) {1,2}(B) {−3,−2,−1}(C) {−3,−2,−1,0,1,2}(D) {−2,−1,0,1,2}
Identify Inequality Signs and Range: Identify the inequality signs and the range of integers needed.We are looking for integers that are greater than or equal to −3 and less than or equal to 2. The inequality signs we are dealing with are "greater than or equal to" (≥) and "less than or equal to" (≤).
List Integers ≥−3: List the integers that satisfy the first part of the inequality, which is greater than or equal to −3. The integers greater than or equal to −3 are: −3,−2,−1,0,1,2,3,4,…
List Integers ≤2: List the integers that satisfy the second part of the inequality, which is less than or equal to 2.The integers less than or equal to 2 are: ...,−3,−2,−1,0,1,2.
Find Intersection of Sets: Find the intersection of the two sets from Step 2 and Step 3 to get the integers that satisfy both conditions.The intersection of the two sets is: −3,−2,−1,0,1,2.
Match with Choices: Match the resulting set with the given choices to find the correct answer.The correct set is (C){−3,−2,−1,0,1,2}.