Given U={x:x∈N,x≤9}, A={x:x is divisible by 2} and B ={x:x3∈N}, then (A ∪ B) - (A ∩B) = ___.
{2, 3, 4, 8, 9}
U={x:x∈N,x≤9}
U={1,2,3,4,5,6,7,8,9}
A={x:xisdivisibleby2}
⇒A={2,4,6,8}
B={x:x3∈N}
⇒B={3,6,9}
A ∪ B is the set of elements belonging to A or B
⇒A∪B={2,3,4,6,8,9}
A ∩ B is the set of elements belonging to A and B
⇒A∩B={6}
(A∪B)−(A∩B) is the set of elements belonging to only (A ∪ B)
(A∪B)−(A∩B)={2,3,4,6,8,9}−{6}
= {2, 3, 4, 8, 9}
Hence (B)