Set X = {x|x is a whole number less than or equal to 10} and set Y = {/15, 10, 15, 20}

a. What is X Y ?

b. What is X UY ?

A

a.

X Y = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 20}

b. XUY = {5, 10}

B. a X Y = {5, 10, 15, 20}

b. XUY= 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 20}

C. a. X Y = {5, 10}

b. XUY = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 20}

OD. a X Y = {0,1,2,3,4,5,6, 7, 8, 9, 10, 15. 20}

b. X Y = {5,10,15, 20}

The intersection (common elements) of sets X and Y is {10}, and the union (all unique elements) of the sets is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 20}.

Explanation:

This question involves set theory, particularly the concepts of intersection and union. Set X is defined as all whole numbers less than or equal to 10, and set Y as {5, 10, 15, 20}. The question is asking for X intersection Y denoted as X ∩ Y, which contains all elements common to both the sets, and X union Y denoted as X ∪ Y, encompassing all unique elements from either set.

a. X ∩ Y = {x|x is in X and Y}, in this case {10}. This means 10 is the element found in both sets.

b. X ∪ Y = {x|x is in X or Y}, in this case {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 20}, meaning this is a set of all unique elements from either X or Y.

Learn more about Set Theory here:

https://brainly.com/question/35494444

#SPJ3