Chapter 6.1, Problem 24ES

Let $W_i=\left\{x\in R|x>i\right\}=\left(i,\infty \right)$ for each nonnegative integer i.

a. ${\displaystyle \underset{i=0}{\overset{4}{\cup }}{W}_i=?}$

b. ${\displaystyle \underset{i=0}{\overset{4}{\cap }}{W}_i}=?$

c. Are $W_0,W_1,W_2,\mathrm{...}$ mutually disjoint? Explain.

d. ${\displaystyle \underset{i=0}{\overset{n}{\cup }}{W}_i=?}$

e. ${\displaystyle \underset{i=0}{\overset{n}{\cap }}{W}_i=?}$

f. ${\displaystyle \underset{i=0}{\overset{n}{\cup }}{W}_i=?}$