What is the additive inverse of 2x-7? a.) 0 b.) 2x+7 c.) -2x+7 d.) -2x-7

Question

asked Aug 9, 2020 158k views

2 Answers

Dominic Cooney · Answer 1 · 2020-08-14T14:53:47+0000

Answer: The correct option is

(A) -2x+7.

Step-by-step explanation: We are given to find the additive inverse of the following expression :

E=2x-7.

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

$E+y=0\\\\\Rightarrow 2x-7+y=0\\\\\Rightarrow y=-2x+7.$

Thus, the required additive inverse of the given expression is -2x+7.

Option (A) is CORRECT.