Q. Which is the set of integers greater than −2 and less than 1?Choices:(A) {−1,0,1}(B) ∅(C) {−1,0}(D) {−2,−1,0}
Identify Range: Identify the range of integers that satisfy the given conditions.We are looking for integers that are greater than −2 and less than 1. This means we need to find integers that are between −2 and 1, but not including −2 and 1 themselves.
List Integers: List the integers that fall within the range.The integers greater than −2 are −1, 0, 1, 2, and so on. However, we also need these integers to be less than 1. This excludes 1 and any integer greater than 1.
Identify Set: Identify the correct set from the given choices.From the integers listed in Step 2, we can see that only −1 and 0 satisfy both conditions: they are greater than −2 and less than 1. Therefore, the correct set of integers is \{−1, 0\}.