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if w≠0, what is the additive inverse of the expression -3/w

Sagot :

The additive inverse of the expression -3/w is 3/w.

A number is known as the additive inverse of another, if the sum of the two numbers comes out to be zero. For example- given a number 3, its additive inverse will be -3, as 3 + (-3) = 0. The additive inverse of 0 is 0 itself.

Here, we are given an expression -3/w, such that w ≠ 0

Let us assume that the additive inverse of -3/w is x

Then, the sum of -3/w and x must be equal to zero

⇒ -3/w + x = 0

adding 3/w to both sides

⇒ x = 3/w

Thus, the additive inverse of -3/w is 3/w.

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