Respuesta :
Answer: The correct option is
(A) -2x+7.
Step-by-step explanation: We are given to find the additive inverse of the following expression :
[tex]E=2x-7.[/tex]
We know that
for any a, the additive inverse is given by b if a+b = 0.
Let y be the additive inverse of the given expression E.
Then, we must have
[tex]E+y=0\\\\\Rightarrow 2x-7+y=0\\\\\Rightarrow y=-2x+7.[/tex]
Thus, the required additive inverse of the given expression is -2x+7.
Option (A) is CORRECT.