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:The range = {-5 , -3 , -1} ⇒ first answerStep-by-step explanation:* In any equation the values of x are the domain of it and  the values of y are the range of it* So to find the range of any equation substitute the values  of x (domain) in the equation to get the corresponding   values of y (range)* In the problem∵ K = {(x , y): x - y = 5}∵ The domain is {0 , 2 , 4}* Lets find K(0) , K(2) , K(4)∵ K(0) = (0) - y = 5∴ -y = 5 ⇒ Multiply both sides by -1∴ y = -5∵ K(2) = (2) - y = 5∴ 2 - y = 5 ⇒ subtract 2 from both sides∴ -y = 3 ⇒ Multiply both sides by -1∴ y = -3∵ K(4) = (4) - y = 5∴ 4 - y = 5 ⇒ subtract 4 from both sides∴ -y = 1 ⇒ Multiply both sides by -1∴ y = -1* The range = {-5 , -3 , -1}