Question

If ∪ = { x|x = 2ⁿ, n∊W, n<8} be the Universal set. A = {yly=4ⁿ , n∊W, n<4} and B={ zlz = 8ⁿ, n∊W, n≤2} are the given sets, then the value of (A⋃B)ˡ is...​

Answer 1

Step-by-step explanation:

Given, universal set, U={1,2,3,4,5,6,7}

A={1,2,5,7}

B={3,4,5,6}

(A∪B)′=U−(A∪B)

={1,2,3,4,5,6,7}−{1,2,3,4,5,6,7}

=ϕ

A′∩B′=(U−A)n(U−B)

={3,4,6}n{1,2,7}

=ϕ

Hence (A∪B)′=A′∩B′.

Answer 2

Answer:

(i) A = {..., −6, −4, 0, 2, 4, 6, ...}

(ii) B = {2}

(iii) C = {..., −5, −4, −3, −2, −1}

(iv) D = {SA, RE, GA, MA, PA, DHA,