Assume that the universe U is the set of all lower case letters alphabetically up to k, i.e.
U = {a, b, c, . . . , k}.
P = {a, b, c, d, e, f, g}
Q = {b, c, d}
R = {c, d, e, f, g}
S = {f, g}
T = {d}
State the result of the following operations:
(a) P ∩ Q
(b) P ∪ R
(c) Q∪R∪S
(d) Q ∩ R
(e) Q ∩ S
(f) (R ∩ S) ∪ (Q ∩ T)
(g) P – R’
(h) (R – P)’
(i) Q x S
(j) (T x R) ∩ (Q x S)
I got the following
(a) {b, c, d}
(b) {a, b, c, d, e, f, g}
(c) {b, c, d, e, f, g}
(d) {c, d}
(e) {Ø}
(f) {f, g, d}
(g) {a,b}
(h) {h, i, j, k}
(i) {<b,f>, <b,g>, <c,f>, <c,g>, <d,f>, <d,g>}
(j) {<d,f>, <d,g>}
Not sure about (g) and (h)