1. **State the problem:** Solve the inequality $$-8 > 11 + x$$ and find the range of values for $$x$$. 2. **Isolate $$x$$:** To solve for $$x$$, subtract 11 from both sides: $$-8 - 11 > 11 + x - 11$$ 3. **Simplify:** $$-19 > x$$ 4. **Rewrite the inequality:** It is more common to write inequalities with $$x$$ on the left side. Since $$-19 > x$$ means $$x < -19$$, we rewrite it as: $$x < -19$$ 5. **Interpretation:** The solution means $$x$$ can be any number less than $$-19$$. **Final answer:** $$x < -19$$