Question

1) if u = {xl x EN, x < 10}, write the union of the following sets:
A = { a l a element of U, AIs an even number }
B = { b l b element of u, b is a division of 6 }​

Answer 1

$A \cup B =${1, 2, 3, 4, 6, 8}

Answer:

We have,

U = { x | x$\in$N, x < 10 }

Therefore,

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

Now,

• A = { a | a$\epsilon$U, a is an even number }
• B = { b | b$\epsilon$U, b is a divisor of 6 }

Therefore,

• A = {2, 4, 6, 8}
• B = {1, 2, 3, 6}

Henceforth,

$A \cup B =${1, 2, 3, 4, 6, 8}