Question

Show that
$show that - ( - x) = x$

Answer 1

Hey Mate!

This is my attempt based on some stuff I have been seeing around:

Let y= -x and then -y = -(-x).

Now, lets sum y+x= -(-x)+x = 0.Then we have y+x = 0. If we had the additive inverse of x, i.e −x, to both sides, we obtain:


$y + x + ( - x) = 0 + ( - x) \\ y + 0 = 0 + ( - x) \\ y = - x \\ - ( - x) = x$

Is this proof correct just using the field axioms? I think that the key point is finding that y = -x

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Hope it helps!

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