Chapter 11.7, Problem 33E

To determine

To find:

The regions are contained in either of the circle $XorZ$ .

Answer to Problem 33E

  $XorZ=c$

Explanation of Solution

Given:

Circles $X,YorZ$ overlap to form regions a through g.

Concept used:

Formula:

  $n\left(AUB\right)=n\left(A\right)+n\left(B\right)$

If the set are disjoint.

Calculation:

In circle $X$

  $X=\left\{a,b,c,d\right\}$

In circle $Z$

  $Z=\left\{d,e,f,g\right\}$

  $X\cup Z=\left\{a,b,d,e,f,g\right\}$

Therefore, the regions are contained in either of the circle $XorZ=c$ .