Can you Check my ans on point a until c , maybe you can help with point d too | Mathematics | Page 1

If given the set of sample space S = {1,2,3,4,5,6,7,8}, which consists of 3 sets, namely A
= {1, 2, 3, 4}, B = {2, 4, 6}, and C = {2, 3, 5, 7}.
Define:
a. 𝐴 ∪ 𝐵 ∪ C =
my ans : {1,2,3,4,5,6,7}
b. 𝐴𝑐,𝐵𝑐,𝑑𝑎𝑛 𝐶𝑐
my ans :
𝐴𝑐 = {5,6,7,8}
𝐵𝑐 = {1,3,5,7,8}
𝐶𝑐 = {1,4,6,8}
c. (𝐴 ∪ 𝐵) – C =
my ans : {1,2,3,4,6} – {2,3,5,7} = {1,4,5,7}
d. Use DeMorgan's Law to find (𝐴 ∪ 𝐵)𝑐 and A𝑐 ∩ 𝐵𝑐
my ans : ????

#Can you Check my ans on point a until c , maybe you can help with point d too