Math below. Given the sets better determine the elements of
A = {0, 1, 3, 2, 4}
B = 0, 2, 4, 6, 8}
C = { 1, 3, 5, 7, 9}

1. AUBUC =
2. (AnB) UC =

What is the Cardinality?
3. n (A)
4. n (B)
5. n (C)​


Sagot :

1. AUB = { 0, 1, 2, 3, 4, 6, 8 }

nAUB = 7

2. AUC = { 0, 1, 2, 3, 4, 5, 7, 9 )

nAUC = 8

3. AUBUC = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

nAUBUC = 10

4. (AUB)UC = AUB = { 0, 1, 2, 3, 4, 6, 8 } + C = { 1, 3, 5, 7, 9}  = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

(AUB)UC = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

n(AUB)UC = 10

5. AUBUC = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

nAUBUC = 10