Question

Lab Assinent 1 Page 2 of 2 62:261, Fall 2019 are subsets of the 4. Let A = {2,3,4,7), B = {4,6,7), C = (3,5,7,8,9), and note that A, B, and universe of discourse U = REZISIS 9} (a) (1 mark) Calculate AUB. (b) [1 mark] Find An B. (c) (1 mark) Find C (d) [1 mark) Calculate C-B. (e) (2 marks) Find (BU CY'.

Answer 1

Answer:

a) AUB = {2,3,4,6,7}

b) $A\cap B=\{4,7\}$

c) $C'=\{1,2,4,6\}$

d) $C-B=\{3,5,8,9\}$

e) $(B\cup C)'=\{1,2\}$

Step-by-step explanation:

Consider the provided set.

A = {2,3,4,7}, B = {4,6,7}, C = {3,5,7,8,9}

Where A, B, and universe of discourse $U=\{x\in Z|1\leq x\leq 9\}$

So $U=\{1,2,3,4,5,6,7,8,9\}$

Part (A) Calculate AUB.

AUB represents the elements which are in A or in B or in both.

Therefore, AUB = {2,3,4,6,7}

Part (B) Find A n B

$A\cap B$ represent the elements which are in both the set A and B.

Therefore, $A\cap B=\{4,7\}$

Part (C) Find C'

$C'$ represent the elements that are not in C.

So the set C' contains all the element of set U except 3,5,7,8,9

Therefore, $C'=\{1,2,4,6\}$

Part (D) Find C-B

$C-B$ represent the elements of C which are not the elements of B.

So the set C-B contains all the element of set C except 7

Therefore, $C-B=\{3,5,8,9\}$

Part (E) Find (BUC)'

$(B\cup C)'$ represent all the elements of U which are not in B or in C or in both.

$B\cup C=\{3,4,5,6,7,8,9\}$

$(B\cup C)'=U-B\cup C=\{1,2\}$

Therefore, $(B\cup C)'=\{1,2\}$