Question 44.

Answer True/False.

The additive inverse of an integer x is 2x.

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Solution

False.

Given, integer = x

Additive inverse of a number is the number which when added to the given number gives zero.

Let y be the additive inverse of $x$ .

$\Rightarrow x + y = 0$

$\Rightarrow y = - x$

$i . e x + - x = 0$

$∴$ Additive inverse of x = - x

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Additive Identity & Additive Inverse

Standard VIII Mathematics

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Question 44. Answer True/False. The additive inverse of an integer x is 2x.

False. Given, integer = x Additive inverse of a number is the number which when added to the given number gives zero. Let y be the additive inverse of x. ⇒x+y=0 ⇒y=−x i.e x+−x=0 ∴ Additive inverse of x = - x

Question 44.

Answer True/False.

The additive inverse of an integer x is 2x.

False.

Given, integer = x

Additive inverse of a number is the number which when added to the given number gives zero.

Let y be the additive inverse of $x$ .

$\Rightarrow x + y = 0$

$\Rightarrow y = - x$

$i . e x + - x = 0$

$∴$ Additive inverse of x = - x