Question: solve and graph the inequality given below
-4x + 2 < -6
1. **State the problem:** Solve the inequality $$-4x + 2 < -6$$.
2. **Isolate the variable term:** Subtract 2 from both sides:
$$-4x + 2 - 2 < -6 - 2$$
$$-4x < -8$$
3. **Divide both sides by -4:** Remember, dividing by a negative number reverses the inequality sign:
$$x > \frac{-8}{-4}$$
$$x > 2$$
4. **Interpretation:** The solution is all values of $$x$$ greater than $$2$$.
5. **Graphing:** On a number line, draw an open circle at $$2$$ and shade all values to the right of $$2$$ to represent $$x > 2$$.