Respuesta :
Answer: The required TRUE statement is
if two integers combine to equal zero, then they are additive inverses of one another.
Step-by-step explanation: We are given the state a true statement about two integers that combine to equal to zero.
Let a and b be the two integers. Then, according to the given information, we have
[tex]a+b=0\\\\\Rightarrow a=-b\\\\\Rightarrow b=-a.[/tex]
That is, a is the additive inverse of b and b is the additive inverse of a.
Thus, the required TRUE statement is
if two integers combine to equal zero, then they are additive inverses of one another.
Two integers that combine to equal zero are equal in value but opposite in signs
For two integers to combine to equal zero, both of them must be equal to each other in magnitude but opposite in sign.
For example, let the two integers be represented by x and -x, the sum of x and -x will be:
x + (-x)
= x - x
= 0
Therefore, we can conclude that two integers that combine to equal zero are the same in value but have opposite signs
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