Question

Which of the following sets are bounded above, bounded below or bounded:
a) Set of Natural numbers
b) set of negative integers
c) A=(1,10)
d) A={1,2,3,4,5}​ its is not MCQ question explain all parts​

Answer 1

Answer:

k

Step-by-step explanation:

a) the set of natural numbers is bounded below by any number . However, we note that is not bounded above since such as does not exist. Therefore in general we say that the set of natural numbers is not bounded.

b) For instance 17 is an upper bound for the set of negative numbers. But 0 is also an upper bound for the set of negative numbers. A number x is called a least upper bound for S if x is an upper bound for S but no y<x is an upper bound for S.

c) For example, the interval (1,10) is considered bounded; the interval (−∞,+∞) is considered unbounded. The set of all real numbers is the only interval that is unbounded at both ends; the empty set (the set containing no elements) is bounded.

d)  Bounded ( not so sure)

Lol i am very not so sure abt this answer but whatever

Answer 2

Answer:

set of the natural numbers