Question

3. If A = {letters of the word RICE), B = {letters of the word NICE), find the following.
(1) AUB
(iii) AB
(in) BUA
(iv) BA
(v) A-B
(vi) B-A



m.et me rukane ko bola tha kaha gaye ab

only for my first following ​

Answer 1

Answer:

Given :-

A = {letters of the word RICE}

B = {letters of the word NICE}

To find :-

Find the following:

(1) AUB

(iii) AnB

(in) BUA

(iv) BnA

(v) A-B

(vi) B-A

Solution :-

Given sets are :

A = {letters of the word RICE}

=> A ={ R,I,C,E}

B = {letters of the word NICE}

=> B={N,I,C,E}

I)AUB:

=>AUB = { R,I,C,E} U {N,I,C,E}

AUB = { R,N,I,C,E}

ii)AnB:

=> AnB = { R,I,C,E} n {N,I,C,E}

AnB = { I,C,E}

iii) BUA :

=>BUA = {N,I,C,E} U{ R,I,C,E}

BUA ={ R,N,I,C,E}

iv) BnA:

=>BnA = {N,I,C,E} n{ R,I,C,E}

BnA={ I,C,E}

v)A-B:

=> A-B = { R,I,C,E} - {N,I,C,E}

A-B = { R}

vi) B-A:

=> B-A = {N,I,C,E} - { R,I,C,E}

B-A ={ N}

Answer :-

(1) AUB ={ R,N,I,C,E}

(iii) AnB ={I,C,E}

(in) BUA={ R,N,I,C,E}

(iv) BnA={I,C,E}

(v) A-B= {R}

(vi) B-A={N}

Observation :-

The following observations for the given problem are observed :

• AUB = BUA

• AnB = BnA

• A-B≠B-A

Answer 2

ANSWERS :-

(1) AUB={R,N,I,C,E}

(iii) AnB ={I,C,E}

(in) BUA={ R,N,I,C,E}

(iv) BnA={I,C,E}

(v) A-B= {R}

(vi) B-A={N}

OBSERVATION :-

The following observations for the given problem are observed :-

• •AUB = BUA
• AnB = BnA
• A-B*B-A