someone plz solve que 7 a
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Step-by-step explanation:
7.a) Solution :-
Given that { (x,y) : y = 2x+1 , 0≤x≤3, x€ W}
If 0≤x<3 ,x€W then x = 0,1,2,3
I) If x = 0 then y = 2(0)+1
=> y = 0+1
=> y = 1
Therefore, (x,y) = (0,1)
II) If x = 1 then y = 2(1)+1
=> y = 2+1
=> y = 3
Therefore, (x,y) = (1,3)
III) If x = 2 then y = 2(2)+1
=> y = 4+1
=> y = 5
Therefore, (x,y) = (2,5)
IV) If x = 3 then y = 2(3)+1
=> y = 6+1
=> y = 7
Therefore, (x,y) = (3,7)
The elements in the given set are
{ (0,1),(1,3),(2,5),(3,7) }
The first elements in the order pairs = 0,1,2,3
Domain = { 0,1,2,3 }
The second elements in the order pairs = 1,3,5,7
Range = { 1,3,5,7}
Answer:-
The range of the given relation = { 1,3,5,7}
Used formulae:-
The set of all second elements in the order pairs is called the range of the given relation.
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