Given:
The set U is given as U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
and set A & B are defined as below
A = { x ∈ U| x > 4 and x > 8}
B = { x ∈ U| x > 4 or x > 8}
Find:
we have to find the set A and B
Explanation:
Since A = { x ∈ U| x > 4 and x > 8}
Now, the elements of U which are greater than 4 and 8 are 9 and 10.
Therefore,
A = { x ∈ U| x > 4 and x > 8} = {9, 10}
Also
B = { x ∈ U| x > 4 or x > 8}
Now, the elements of U which are greater than 4 or 8 are 5, 6, 7, 8, 9, 10
Therefore,
B = { x ∈ U| x > 4 or x > 8} = {5, 6, 7, 8, 9, 10}
Therefore
A = { x ∈ U| x > 4 and x > 8} = {9, 10}
B = { x ∈ U| x > 4 or x > 8} = {5, 6, 7, 8, 9, 10}
