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The additive inverse of $(- 9 + 11)$ is:

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-2

-11

answer is A.

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Detailed Solution

Concept: The additive inverse of a number

x

is the number that, when added to

x

the sum becomes zero. In other words, the negative of the number

x

i.e.

- x

is the additive inverse of

x

.
Consider

x

be the additive inverse

- 9 + 11

Now, from the definition of the additive inverse, if

x

is added with

- 9 + 11

,
the sum becomes 0. Therefore,

(- 9 + 11) + x = 0

\Rightarrow 2 + x = 0

\Rightarrow (- 9 + 11) + x = 0

\Rightarrow 2 + x = 0

Now, subtract 2 from both sides of the above expression, to obtain the value of

x

2 + x - 2 = - 2

\Rightarrow x = - 2

Thus, the additive inverse of

(- 9 + 11)

is -2,
Hence, option 1 is the correct answer.

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