A = {x ∈ R : x ≥ −2} and B = {x ∈ R : −1 < x ≤ 5} . Suppose these are the sets A and B : see ffg :
1.1 Sketch each of the sets A and B on two separate number lines.
1.2 Determine A ∩ B and give the answer in interval notation.
1.3 Determine A ∪ B and give the answer in interval notation.
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1. This is pretty difficult on Yahoo! Answers. Set A is simply all points to the right of -2, including -2. Set B is all points between -1 and 5, not including -1 but including 5.
2. A ∩ B is all points common to both sets. Since B is a subset of A, A ∩ B = B. In interval notation that is (-1, 5].
3. A ∪ B is all points in either A or B (or both). Since B is a subset of A, A ∪ B = A. In interval notation that is [-2, infinity).