Question

Q2. If = {x: x is an integer such that 1<x<20} and A = {8, 9, 10, 11, 12, 13, 14} and B = {2, 4, 6, 8, 10, 12, 14, 16, 18}. (i) List down the elements of A’ and B’ (ii) Are sets A - B and B - A equal sets? (iii) Find and compare the sets (AUB)’ and A’B’ and share your observations

Answer 1

Answer:

(I) A'={2,3,4,5,6,7,15,16,17,18,19}

B'={3,5,7,9,11,13,15,17,19}

(ii) A-B={8,9,10,11,12,13,14}-{2,4,6,8,10,12,14,16,18}

={9,11,13}

B-A={2,4,6,8,10,12,14,16,18}-{8,9,10,11,12,13,14}

={2,4,6,16,18}

A-B and B-A are not equal

(iii) (AUB)={8,9,10,11,12,13,14} U {2,4,6,8,10,12,14,16,18}

={2,4,6,8,9,10,11,12,13,14,16,18}

(A U B) '={3,5,7,1517,19}

A'={2,3,4,5,6,7,15,16,17,18,19}

B'={3,5,7,9,11,13,15,17,19}

A'B'={3,5,7,15,17,19}

(A U B.)'=A'B'

I hope it's help you

Answer 2

Answer:

Step-by-step explanation:

HELLO DEAR,

Given : U = {x:x is an integer such that 1<x<20}

Then U = {2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,

1 9}

And A ={8,9,10,11,12,13,14}

And B = { 2,4,6,8,10,12,14,16,18}

i) A' = U- A

={2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19} - { 8,9,10,11,12,13,14}

= {2,3,4,5,6,7,15,16,17,18,19}

and B'= U - B

= {2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19}-{2,4,6,8,10,12,14,16,18}

={3,5,7,9,11,13,15,17,19}

ii) A-B = B-A ( to check)

Taking LHS {8,9,10,11,12,13,14}-{2,4,6,8,10,12,14,16,18}

= {9,11,13}

Taking RHS

B-A = {2,4,6,8,10,12,14,16,18}-{8,9,10,11,12,13,14}

= {2,4,6,16,18}

So, LHS =/= RHS

iii) (A U B) = (2,4,6,8,9,10,11,12,13,14,16,18)

(A U B)' = U - (A U B)

={3,5,7,15,19}

I HOPE IT HELP YOU DEAR,

THANKS.