Question: Solve the inequality and graph the solution on the line provided.
2x + 16 < 2
1. **State the problem:** Solve the inequality $$2x + 16 < 2$$ and represent the solution on a number line.
2. **Write the inequality:** $$2x + 16 < 2$$
3. **Isolate the variable term:** Subtract 16 from both sides:
$$2x + 16 - 16 < 2 - 16$$
which simplifies to
$$2x < -14$$
4. **Divide both sides by 2:**
$$\frac{2x}{\cancel{2}} < \frac{-14}{\cancel{2}}$$
which simplifies to
$$x < -7$$
5. **Interpret the solution:** The solution to the inequality is all values of $$x$$ less than $$-7$$.
6. **Graph the solution:** On the number line, place an open circle at $$-7$$ to indicate that $$-7$$ is not included, and shade all values to the left of $$-7$$ to represent $$x < -7$$.
**Final answer:** $$x < -7$$