Which is the set of integers greater than or equal to −3 and less than or equal to2?Choices:(A) {−2,−1,0,1,2}(B) {1,2}(C) {−3,−2,−1}(D) {−3,−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) {−2,−1,0,1,2}(B) {1,2}(C) {−3,−2,−1}(D) {−3,−2,−1,0,1,2}
Identify Inequality Signs: Identify the inequality signs and the type of numbers required.We need to find the set of integers that satisfy two conditions: they must be greater than or equal to −3, and they must be less than or equal to 2.Inequality signs: ≥ (greater than or equal to) and ≤ (less than or equal to)Type of numbers: Integers
Find Integers Greater Than −3: Determine the set of integers that are greater than or equal to −3. Starting from −3 and moving upwards, the integers are −3,−2,−1,0,1,2,3, and so on. However, we are only interested in the numbers up to 2.
Find Integers Less Than 2: Determine the set of integers that are less than or equal to 2. Starting from 2 and moving downwards, the integers are 2,1,0,−1,−2,−3,−4, and so on. However, we are only interested in the numbers down to −3.
Combine Results for Integer Set: Combine the results from Step 2 and Step 3 to find the set of integers that satisfy both conditions.The set of integers that are both greater than or equal to −3 and less than or equal to 2 is {−3,−2,−1,0,1,2}.