Question

Determine whether each of these statements is true or false:
(a) 0 ∈ ∅
(b) 0 ⊆ {0}
(c) ∅ ∈ {∅, {∅}}
(d) {∅} ∈ {∅}
(e) {∅} ∈ {{∅}}
(f) {∅} ⊆ {{∅}}
(g) {∅} ⊆ {∅, {∅}}
(h) {{∅}} ⊆ {∅, {∅}}
(i) {{∅}} ⊆ {{∅}, {∅}}
(j) {{∅}} ∈ {{∅}, {∅}}