Question

Given A = {1, 2, 3, 4}, B = {4, 5, 6,}, and C = {2, 6, 7}. Evaluate each set
a) A ∩ B
b) A U C
c) B U C
d) (A U B) ∩ C
e) A U (B U C)
f) (A ∩ B) ∩ C
g) (A ∩ B) U C

Answer 1

i)AnB is the set of values common to both sets A and B. So that gives us AnB={4}; since only 4 appears in both sets.

ii)AuC is the set of all the elements in A and B; without repeating the elements. AuC={1,2,3,4,6,7}

iii)In the same way, BuC={2,4,5,6,7}

iv)First off, AuB={1,2,3,4,5,6}. So check for the elements common to this set and set C; and that gives (AuB)nC={2,6}

v)

Answer 2

v)first off, BuC={2,4,5,6,7}. So Au(BuC)={1,2,3,4,5,6,7}

Answer 3

the others follow the same pattern. hope that helps

Answer 4

thnks

Answer 5

help please