Let the universal set be the set R of all real numbers and let A = x ∈ R , B = {x ∈ R | – 1

Question

Let the universal set be the set R of all real numbers and let A = –3 ≤ x ≤ 0, B = {x ∈ R | – 1

Answer 1

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 .