1. If p(x) denotes "x ∈ S" and q(x) denotes "x ∈ T," describe the following, using logical statement forms with p(x) and q(x):
(a) x ∈ S' ( T'
(b) x ∈ S ( T ′
(c) x ∈ S′ ( T ′
(d) x ∈ (S ( T )′
2. Let the universal set be
U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13},
let S = {x ∈ U : x ( 8}, and let T = {x ∈ U : x ( 10}.
(a) What implication must be true if and only if S is a subset of T?
(b) Is S a subset of T? Explain.