Question

I. SET.

A. List the members of these sets

1. {x | x is a positive integer less than 10}

2. {x | x is an integer such that x2 = 2}

B. Consider the following sets.

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 for the following:

a. A U B

b. 𝐴 ∩ 𝐵

c. B – C

d. C x A

e. 𝐵 ∩

f. 𝐴̅ − 𝐵 

g. C – (𝐵̅ − 𝐴) 

h.  

i. P (A)

j. |𝑃(𝐵)|

Answer 1

A=$\{1,2,3,4,5,6,7,8,9\}$ for case 1 and

A=$\{\emptyset\}$ for case 2

For problem 2

a) A$\cup B=\{a,b,c,-2,-1,0,1,2\}$

b)A$\cap B=\{\emptyset\}$

c)B$-C=\{-2,-1,0,1\}$

d)C$\times A=\{ (2,a),(2,b),(2,c),(4,a),(4,b),(4,c),(6,a),(6,b),(6,c) \}$

e) question is not complete.

f) $\bar{A}-B=\{ 3,4,5,6,7,8,d\}$

g)C $-(\bar{B}-A)=$ $\{2\}$

h) question is not complete.

i)P(A)=$\{\emptyset\},\{a\},\{b\},\{c\},\{a,b\},\{b,c\},\{a,c\},\{a,b,c\}\}$

j)|P(B)|=$2^{5}=32$