Which reason for step 4 completes the proof?
Prove: -(a + b) + a = -b
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Answer:
Reason which completes the proof of step 4 is:
Identity property of addition
Step-by-step explanation:
-(a+b)+a= -b
= -a+ (-b)+a (distributive property)
= -a+a+(-b) (Commutative property of Addition)
= 0+ (-b) (Additive inverse property)
= -b (Identity property of addition)
(Identity property of addition says that if 0 is the identity element and a is any element
Then, a+0=0+a=a)
So, reason which completes the proof of step 4 is:
Identity property of addition