Question

If K = {(x, y)|x - y = 5}, find the corresponding range of y for the domain {0, 2, 4}.


{-5, -3, -1}
{0, 2, 4}
{5, 7, 9}

Answer 1

iil help

Answer 2

The domain is given to you, so that's easy: Domain: x = {0, 2, 4}

K is a set defined by all values x and y such that x - y = 5.
x - y = 5 means
-y = 5 - x
y = x - 5

If x = 0, y = 0 - 5 = -5
If x = 2, y = 2 - 5 = -3
If x = 4, y = 4 - 5 = -1

So the range is
y = {-5, -3, -1 }