Final answer:
Sets A and B are defined as sets of real numbers within specific ranges. A AND B is the intersection of A and B, while A OR B is the union of A and B.
Step-by-step explanation:
The subject of this question is Mathematics and it is appropriate for High School level.
Set A is defined as the set of all real numbers between -3 and 0, inclusively. Set B is defined as the set of all real numbers between -1 and 2, inclusively.
To find A AND B, we need to find the intersection of sets A and B, which means finding the common elements in both sets. In this case, x ∈ R ∩ –1 ≤ x ≤ 2 is equal to x ∈ R . Therefore, A AND B = x ∈ R .
To find A OR B, we need to find the union of sets A and B, which means combining all elements from both sets. In this case, x ∈ R ∪ x ∈ R is equal to x ∈ R . Therefore, A OR B = x ∈ R .