Chapter 6.1, Problem 11ES

Let the universal set be R, the set of all real number, and let $A=\left\{x\in \text{R|0<x}\le \text{2}\right\}B=\left\{x\in R|1\le x<4\right\}$ , and $C=\left\{x\in R|3\le x<9\right\}$ .

Find each of the following:

a. $A\cup B$

b. $A\cap B$

c. $A^e$

d. $A\cup C$

e. $A\cap C$

f. $B^e$

g. $A^e\cap B^e$

h. $A^c\cup B^x$

i. ${\left(A\cap B\right)}^x$

j. ${\left(A\cup B\right)}^x$