Answer to Question #171117 in Discrete Mathematics for Angelie Suarez

Question #171117

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 ∩ 𝐡

c. B – C

d. C x A

e. 𝐡 ∩

f. 𝐴̅ βˆ’ 𝐡 

g. C – (𝐡̅ βˆ’ 𝐴) 

h.  

i. P (A)

j. |𝑃(𝐡)|


1
Expert's answer
2021-03-16T11:40:30-0400

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

A={βˆ…}\{\emptyset\} for case 2



For problem 2


a) AβˆͺB={a,b,c,βˆ’2,βˆ’1,0,1,2}\cup B=\{a,b,c,-2,-1,0,1,2\}

b)A∩B={βˆ…}\cap B=\{\emptyset\}

c)Bβˆ’C={βˆ’2,βˆ’1,0,1}-C=\{-2,-1,0,1\}

d)CΓ—A={(2,a),(2,b),(2,c),(4,a),(4,b),(4,c),(6,a),(6,b),(6,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) AΛ‰βˆ’B={3,4,5,6,7,8,d}\bar{A}-B=\{ 3,4,5,6,7,8,d\}

g)C βˆ’(BΛ‰βˆ’A)=-(\bar{B}-A)= {2}\{2\}

h) question is not complete.

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

j)|P(B)|=25=322^{5}=32


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