Find the domain

Algebra Level 2

Define a set K = { ( x , y ) ∣ y = x + 5 , x , y ∈ { 0 , 1 , 2 , 3 , 4 , 5 } } \mathbb{K}=\{(x,y)\lvert y=x+5,~x,y\in\{0,1,2,3,4,5\}\}

How many elements does the domain of K \mathbb{K} have?

5 6 1 0

Omkar Kulkarni by Omkar Kulkarni , 22, India

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1 solution

Pratik Kakade
Jul 25, 2015

y ≥ 5 y\geq 5 as x ≥ 0 x\geq 0 . But maximum value of y y is 5 5 . Therefore only one value is possible for y y [= 5 5 ] for x x equal to zero. Thus, domain K has only one value ( 0 , 5 0,5 )

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