To find the union of sets A and B, denoted as "A union B," we need to include all elements that are in set A or set B (or both).
Set A is defined as all natural numbers (positive integers) between 3 and 7 (exclusive): A = {4, 5, 6}.
Set B is defined as all integers whose square is less than 3, which are -1, 0, and 1.
To find the union of A and B, we combine all the elements from both sets:
A U B = {4, 5, 6} U {-1, 0, 1}
This means that the union of A and B is the set containing all the elements from both sets without repetition.
Therefore, A U B = {-1, 0, 1, 4, 5, 6}.
