What is the reason for statement 3 in the proof? . prove –d + (d + e) = e. statementreason. 1–d + (d + e) = (–d + d) + e1. associative property of addition. 2= 0 + e2. additive inverse property. 3= e3. a. definition of addition. b. identity property of addition. c. commutative property of addition. d. distributive property

when u add 0 to some number, u get the original number back.

Option: B is the correct answer.

   B. Identity Property of Addition.

We know that identity under addition is the element which when added to any elements  gives the resultant as the same element.

i.e. if e is the identity of the set then,

       a*e=a for all a belongs to the set, where * is the operation

We know that under addition operation the identity is the zero element.

Because if zero is added to any element than it gives the same element.

Reason. 1       -d+(d + e)=(-d+d)+e    1. Associative Property of Addition.

Reason 2               = 0 + e                2. Additive Inverse Property.

Reason 3                   = e                  3. Identity Property of Addition.

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