MAT2611
ASSIGNMENT 1
2024
, QUESTION 1
Solution:
a).
𝐿𝑒𝑡 𝐴 = {𝑎, 𝑏, {𝑎, 𝑐}} 𝑎𝑛𝑑 𝐵 = {𝑎, 𝑐}
𝑇ℎ𝑒𝑛 ∶ 𝐵 ∈ 𝐴 𝑏𝑢𝑡 𝐵 ⊈ 𝐴
b).
𝐿𝑒𝑡 𝐴 = {𝑎, 𝑏, 𝑐} 𝑎𝑛𝑑 𝐵 = {𝑎, 𝑏}
𝑇ℎ𝑒𝑛: 𝐵 ⊆ 𝐴 𝑏𝑢𝑡 𝐵∉𝐴
QUESTION 2
Solution:
1).
𝑃({∅}) = {∅, {∅}}
ASSIGNMENT 1
2024
, QUESTION 1
Solution:
a).
𝐿𝑒𝑡 𝐴 = {𝑎, 𝑏, {𝑎, 𝑐}} 𝑎𝑛𝑑 𝐵 = {𝑎, 𝑐}
𝑇ℎ𝑒𝑛 ∶ 𝐵 ∈ 𝐴 𝑏𝑢𝑡 𝐵 ⊈ 𝐴
b).
𝐿𝑒𝑡 𝐴 = {𝑎, 𝑏, 𝑐} 𝑎𝑛𝑑 𝐵 = {𝑎, 𝑏}
𝑇ℎ𝑒𝑛: 𝐵 ⊆ 𝐴 𝑏𝑢𝑡 𝐵∉𝐴
QUESTION 2
Solution:
1).
𝑃({∅}) = {∅, {∅}}