Question: Solve the inequality and graph the solution on the line provided.
7, x, plus, 19, is greater than or equal to, 12
1. **State the problem:** Solve the inequality $$7x + 19 \geq 12$$.
2. **Write the inequality:** $$7x + 19 \geq 12$$.
3. **Isolate the variable term:** Subtract 19 from both sides:
$$7x + 19 - 19 \geq 12 - 19$$
$$7x \geq -7$$
4. **Divide both sides by 7:**
$$\frac{\cancel{7}x}{\cancel{7}} \geq \frac{-7}{7}$$
$$x \geq -1$$
5. **Interpretation:** The solution is all values of $$x$$ greater than or equal to $$-1$$.
6. **Graph on number line:** Draw a solid circle at $$-1$$ and shade all values to the right (greater than $$-1$$).