1. Is S a subset of T? Let
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
S = {x ∈ U: x divides 12 evenly}
T = {x ∈ U: x is a multiple of 2}.
2. Prove that S is a subset of T, where
U = {1, 2, 3, 4, 5, 6, 7, 8, 9}
S = {x ∈ U: x is a multiple of 2}
T = {x ∈ U: x divides 24 evenly}.
3. Prove that S is a subset of T, where
U = {a, b, c, d, e, f, g, h}
S = {x ∈ U: x is a letter in bad}
T = {x ∈ U: x is a letter in badge}.