SOLUTION: I'm not sure if this is the right category?? But can you please explain this to me? I think the argument is correct but I don't know how to explain the process. Thanks sooooo much!

Question 236049: I'm not sure if this is the right category?? But can you please explain this to me? I think the argument is correct but I don't know how to explain the process. Thanks sooooo much!!!
Hosni gave the following argument that - (a + b) = -a + -b, for all integers a and b. If the argument is correct, supply the missing reasons. If it is incorrect, explain why not.
-(a + b) = (-1)(a + b)
= (-1)a + (-1)b
= -a + -b

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Hosni gave the following argument that - (a + b) = -a + -b, for all integers a and b. If the argument is correct, supply the missing reasons. If it is incorrect, explain why not.
-(a + b) = (-1)(a + b) ..... Def of additive inverse.
= (-1)a + (-1)b ........... Distributive Law
= -a + -b ................ Def of additive inverse.
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Yes, the argument is correct.
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Cheers,
Stan H.
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