Answer to Question #171182 in Discrete Mathematics for Angelie Suarez

Question

Universal set (U) = {-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, a, b, c, d}

A = {a, b, c}

B = {-2, -1, 0, 1, 2}

C = {2, 4, 6}

find:

1. B-C
2. C x A
3. P(A)
4. |P (B)|

Answer 1

Universal set (U) = {-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, a, b, c, d}

A = {a, b, c}

B = {-2, -1, 0, 1, 2}

C = {2, 4, 6}

1. B-C = { -2, -1, 0, 1}
2. C x A = { (2,a),(4,a),(6,a),(2,ab),(4,b),(6,b),(2,c),(4,c),(6,c)}

3.P(A) = $\phi$ , {a},{b},{c},{a,b},{b,c},{a,c},{a,b,c}

4.|P (B)| = $2^5=32$