Chapter 2.2B, Problem 7A

To determine

(a)

To find:

The cardinal number of the set $\left\{19,20,21,\dots ,99\right\}$ by assuming the pattern of elements are continues in the given order.

To determine

(b)

To find:

The cardinal number of the set $\left\{2,\text{ 4},\text{ 6},\text{ 8},\dots ,1002\right\}$ by assuming the pattern of elements are continues in the given order.

To determine

(c)

To find:

The cardinal number of the set $\left\{x^2|x=1,\text{ 3, }5,\text{ 7,}\dots ,99\right\}$ by assuming the pattern of elements are continues in the given order.

To determine

(d)

To find:

The cardinal number of the set $\left\{x|x=x+1\text{ and }x\in N\right\}$ by assuming the pattern of elements are continues in the given order.