"Let S be the set {x : x ∈ Z and either x ≤ −2 or x ≥ 5} and let T be the set{−3, −2, −1, 4, 5, 6, 7}. Find the following."
These are what I have so far.
(i) S ∩ T = -3, -2, 5, 6, 7
(ii) S ∪ T = -3, -2, -1, 4, 5, 6, 7
(iii) S∆T = 4, -1
(iv) P(S) ∩ {{−3, −2, 1}, {4}, {6, 7}, {−5, 6, 9}}
I'm a bit confused however as to what this question is asking, so it wants the intersection between the powerset S and the subsets of T that are listed. But how do you express the powerset of S?
These are what I have so far.
(i) S ∩ T = -3, -2, 5, 6, 7
(ii) S ∪ T = -3, -2, -1, 4, 5, 6, 7
(iii) S∆T = 4, -1
(iv) P(S) ∩ {{−3, −2, 1}, {4}, {6, 7}, {−5, 6, 9}}
I'm a bit confused however as to what this question is asking, so it wants the intersection between the powerset S and the subsets of T that are listed. But how do you express the powerset of S?