Write the integer which is 4 more than its additive inverse.
\(2\)
Let the integer be (x).
Its additive inverse is (-x).
“4 more than its additive inverse” means ((-x) + 4).
So we get the equation:
(x = (-x) + 4)
Add (x) to both sides:
(x + x = 4)
(2x = 4)
Divide both sides by (2):
(x = 2)
Check: Additive inverse of (2) is (-2). Then (-2 + 4 = 2), which matches the number. Correct.