Question

if u={x/x € N, x< 10} and A ={ x/x €N, 2_< x < 6} then (A')'​

Answer 1

Answer:

     (A')' = A = {2,3,4,5}

Step-by-step explanation:

U - universal set

U = {x/x € N, x< 10}

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

A = { x/x €N, 2 ≤ x < 6}

A = {2,3,4,5}  ----{i}

A' = U - A

U - A  = {x: x ∈ U and x ∉ A}

U - A = {1,6,7,8,9}

A' = {1,6,7,8,9}

(A')' = U - A'

U - A' = {x : x ∈ U and x ∉ A'}

U - A' = {2,3,4,5}

(A')' = {2,3,4,5}  ----{ii}

from {i} and {ii}

(A')' = A = {2,3,4,5}