Answer to Question #180542 in Discrete Mathematics for Danie

Question

Use a Venn Diagram and shadings to find what X will be in terms of sets A en B and set operations so that :

A or B = (A/B) or (A and B) or X

With X disjoint To both A/B - A and B

Answer 1

Given,

$A\cup B=(\dfrac{A}{B})\cup (A\cap B) \cup X$

$A\cup B=(\dfrac{A\cap B}{B})\cup (A\cap B) \cup X$

The value of X must be- $(A\cap B)'$

The venn diagram is represented below-