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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