To find the integer that makes the addition sentence true, we'll set up the equation:
Let \( x \) be the integer we want to find. The equation becomes:
\[ x + 1 = -9 \]
To solve for \( x \), subtract 1 from both sides:
\[ x = -9 - 1 \]
This simplifies to:
\[ x = -10 \]
Thus, the integer that makes the addition sentence true is \( -10 \).