Write the following set using listing method and write whether it is finite or infinite. F={(a,b)|a,b€Q,a+b=11}
Answers
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Step-by-step explanation:
Given:-
F={(a,b)|a,b€Q,a+b=11}
To find:-
Write the following set using listing method and write whether it is finite or infinite. F={(a,b)|a,b€Q,a+b=11}
Solution:-
Given set is F={(a,b)|a,b€Q,a+b=11}
From the given set a and b are rational numbers
and their sum is equal to 11
a+b = 11
11+0 = 11
0+11 = 11
10+1 = 11
1+10 = 11
9+2 = 11
2+9 = 11
3+8 = 11
8+3= 11
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.
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and 19/2+3/2=22/2 = 11
17/3+16/3 = 33/3=11
34/5+21/5=55/5=11
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.
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If we can write this the list becomes an infinite
So the number of elements in the set F is infinite.
Answer:-
F={(a,b)|a,b€Q,a+b=11} is an infinite set.
Infinite set :-
A set having infinitely number of elements is called an infinite set.
Ex:-
Set of natural numbers
set of whole numbers
set of integers
....
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