What is the union of the sets M = (1, 7, 10, 11, 15) and N = (5,15) ?

Answer: The union of the sets M and N is: M U N={1,5,7,10,11,15}

Solution:

M={1,7,10,11,15}

N={5,15}

The union of two sets are the sum of the elements of the two sets, taking the repeated elements only once. In this case the only repated element is 15, then we take 15 only once:

M U N = {1,5,7,10,11,15}

M ∪ N = (1, 5, 7, 10, 11, 15)

Step-by-step explanation:

A set is said to be a union of two sets A and B which has the elements present in the set A and B or in both. Union of two sets A and B will be denoted by A ∪ B.

For the two given sets M = (1, 7, 10, 11, 15) and N = (5, 15), their union M ∪ N will contain all the elements from the two sets but none of the elements will be repeated.

Therefore, M ∪ N = (1, 5, 7, 10, 11, 15)