MATH SOLVE

2 months ago

Q:
# Verify the following statements using Venn diagrams: S Intersection T = T Intersection S S Union T = T Union S R Union (S Union T) = (R Union S) Union T R Intersection (S Intersection T) = (R Intersection S) Intersection T

Accepted Solution

A:

Answer:Step-by-step explanation:As you can see in the first image, S∩T and T∩S is the common elements between S and T.As you can see in the second image, the union is all the elements in both sets written as one set. The order TUS and SUT represent the same.As you can see in the third image, the union between the three sets are all elements written as a set. The movement of parentesis doesn't change the result.As you can see in the last image, intersection between the three sets are the common elements in the three sets. The movement of parentesis doesn't change the result.