Answer:
m∪n = {0, 1, 2, 4, 6, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 25, 26, 28, 36, 49, 64}.
Explanation:
To find the intersection (m∩n) of the set of square numbers less than 80 and the set of non-negative even numbers under 30, we need to find the numbers that are in both sets.
The set of square numbers less than 80 is: {0, 1, 4, 9, 16, 25, 36, 49, 64}
The set of non-negative even numbers under 30 is: {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}
The numbers that are in both sets are: {0, 4, 16}
Therefore, m∩n = {0, 4, 16}.
To find the union (m∪n) of the set of square numbers less than 80 and the set of non-negative even numbers under 30, we need to find all the unique numbers that are in either set.
The set of square numbers less than 80 is: {0, 1, 4, 9, 16, 25, 36, 49, 64}
The set of non-negative even numbers under 30 is: {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}
Combining both sets and removing duplicates, we get:
{0, 1, 2, 4, 6, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 25, 26, 28, 36, 49, 64}
Therefore, m∪n = {0, 1, 2, 4, 6, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 25, 26, 28, 36, 49, 64}.