Chapter 1.1, Problem 5E

a)

To determine

The elements of set $A\cup B$ where the sets A and B are given by $A=\left\{0,1,2,3,4,5\right\}\text{and}B=\left\{0,2,4,6,8,10\right\}$.

b)

To determine

The elements of set $A\cap C$ where the sets A and C are given by $A=\left\{0,1,2,3,4,5\right\}\text{and}C=\left\{2,3,5,7\right\}$.

c)

To determine

The elements of set $A^{\prime }\cup B$ where the sets A and B are given by $A=\left\{0,1,2,3,4,5\right\}\text{and}B=\left\{0,2,4,6,8,10\right\}$.

d)

To determine

The elements of set $A\cap B\cap C$ where the sets A, B and C are given by $A=\left\{0,1,2,3,4,5\right\},B=\left\{0,2,4,6,8,10\right\}\text{and}C=\left\{2,3,5,7\right\}$.

e)

To determine

The elements of set $A^{\prime }\cap B\cap C$ where the sets A, B and C are given by $A=\left\{0,1,2,3,4,5\right\},B=\left\{0,2,4,6,8,10\right\}\text{and}C=\left\{2,3,5,7\right\}$.

f)

To determine

The elements of set $A\cup \left(B\cap C\right)$ where the sets A, B and C are given by $A=\left\{0,1,2,3,4,5\right\},B=\left\{0,2,4,6,8,10\right\}\text{and}C=\left\{2,3,5,7\right\}$.

g)

To determine

The elements of set $A\cap \left(B\cup C\right)$ where the sets A, B and C are given by $A=\left\{0,1,2,3,4,5\right\},B=\left\{0,2,4,6,8,10\right\}\text{and}C=\left\{2,3,5,7\right\}$.

h)

To determine

The elements of set ${\left(A\cup B^{\prime }\right)}^{\prime }$ where the sets A and B are given by $A=\left\{0,1,2,3,4,5\right\}\text{and}B=\left\{0,2,4,6,8,10\right\}$.

i)

To determine

The elements of set $A-B$ where the sets A and B are given by $A=\left\{0,1,2,3,4,5\right\}\text{and}B=\left\{0,2,4,6,8,10\right\}$.

j)

To determine

The elements of set $B-A$ where the sets A and B are given by $A=\left\{0,1,2,3,4,5\right\}\text{and}B=\left\{0,2,4,6,8,10\right\}$.

k)

To determine

The elements of set $A-\left(B-C\right)$ where the sets A, B and C are given by $A=\left\{0,1,2,3,4,5\right\},B=\left\{0,2,4,6,8,10\right\}\text{and}C=\left\{2,3,5,7\right\}$.

l)

To determine

The elements of set $C-\left(B-A\right)$ where the sets A, B and C are given by $A=\left\{0,1,2,3,4,5\right\},B=\left\{0,2,4,6,8,10\right\}\text{and}C=\left\{2,3,5,7\right\}$.

m)

To determine

The elements of set $\left(A-B\right)\cap \left(C-B\right)$ where the sets A, B and C are given by $A=\left\{0,1,2,3,4,5\right\},B=\left\{0,2,4,6,8,10\right\}\text{and}C=\left\{2,3,5,7\right\}$.

n)

To determine

The elements of set $\left(A-B\right)\cap \left(A-C\right)$ where the sets A, B and C are given by $A=\left\{0,1,2,3,4,5\right\},B=\left\{0,2,4,6,8,10\right\}\text{and}C=\left\{2,3,5,7\right\}$.