Question

A={x: x is a factor of 12},B={r:x is a factor of 20} Find A U B and B ∩ A.​

Answer 1

Set A includes factors of 12 and set B includes factors of 20. The union A U B is {1, 2, 3, 4, 5, 6, 10, 12, 20}. The intersection B ∩ A includes only the common factors of 12 and 20 and is {1, 2, 4}.

Step-by-step explanation:

To find the sets A ∪ B (union of A and B) and B ∩ A (intersection of A and B), we first need to establish the elements of each set. Set A includes all factors of 12, and set B includes all factors of 20 (assuming the reference to 'r' is a typo and should also be 'x').

• Factors of 12: 1, 2, 3, 4, 6, 12
• Factors of 20: 1, 2, 4, 5, 10, 20

The union of A and B, denoted as A ∪ B, includes all factors of both 12 and 20 without repetition:

• A ∪ B = {1, 2, 3, 4, 5, 6, 10, 12, 20}

The intersection of A and B, denoted as B ∩ A, includes only the common factors of 12 and 20:

• B ∩ A = {1, 2, 4}