identify the finite,infinite sets and find the cardinal numbers of the finite sets
I.)B={x|x<5 and x belongs to w}
2.)D={....-3,-2,-1,0}
(please answer only if u know the answer)
Answers
Answer:
Step-by-step The number of distinct elements in a finite set is called its cardinal number. It is denoted as n(A) and read as ‘the number of elements of the set’.
For example:
(i) Set A = {2, 4, 5, 9, 15} has 5 elements.
Therefore, the cardinal number of set A = 5. So, it is denoted as n(A) = 5.
(ii) Set B = {w, x, y, z} has 4 elements.
Therefore, the cardinal number of set B = 4. So, it is denoted as n(B) = 4.
(iii) Set C = {Florida, New York, California} has 3 elements.
Therefore, the cardinal number of set C = 3. So, it is denoted as n(C) = 3
.explanation:
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Step-by-step explanation:
set B has a finite number of elements
=>set B is finite set
cardinal number of set B is 5
set D has a infinite number of elements i.e. -∞ to 0
=>set D is infinite set
cardinal number of set B =is not defined