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Can someone please explain to me- because I feel I got this wrong: f: Z Z , where f(x) = x -10; to solve: let

Can someone please explain to me- because I feel I got this wrong:

f: Z Z , where f(x) = x -10;

to solve:

let a, b be an element of Z and let f(a)= f(b)

therefore Xa-10=Xb-10

therefore -10a=-10b

therefore -a=-b

how do i prove the contra?

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