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Q.

Tell whether the given statement is true or not.

The additive inverse of an integer p must be 2p.

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a

True

b

False

answer is B.

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Detailed Solution

We have given an integer p.
We know that the additive inverse of any integer is the integer itself but with an opposite sign.
If p is an integer then its additive integer is –p and if –p is an integer then its additive integer is +p.
So, the additive inverse of an integer p is –p.
Therefore, the given statement is false.
The additive inverse of an integer p is -p not 2p.
Hence, option (2) is correct.

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