Math, asked by dynamogamer663, 1 month ago

someone plz solve que 7 a

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Answers

Answered by tennetiraj86
3

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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