Question

14.
A set can be finite ar infinite (as understood in an informal way). For instance,
11,2,3,4) is a finite set whereas Z is an infinite set. The number of elements of a set A.
denoted by Al, is called its cardinal number. Without going into the necessary
technicalities, we may just observe that
lol = 0,113,...,11 = n.
Two sets A and B are called similar if they have the same cardinal number. Thus, the
sets (1, 2, 31 and 12, 4, 6) are similar. We write A - B to express the fact that A and B are
similar. Now, answer the following questions.
(1) What are the cardinal numbers of the following sets ?
lol, la, la, bil, IZI, 10, 5, 10, 151, la, b, la, bl. llell, lo, loll
For any natural number n, give an example of a set A such that Al = n.
( Determine the cardinal number of the set lx :x is real and x-+x - 1 = 0​

Answer 1

Answer:

$6301125 { {y + y + y { + + { = 35123610141.21..02131 \times \frac{?}{?} \times \frac{?}{?} }^{?} }^{?} }^{?} }^{?} \times \frac{?}{?} \times \frac{?}{?} 51? \times \frac{?}{?}$