Subjects algebra

Inequality Solution 0Dea39

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1. **State the problem:** Solve the inequality $$2n + 4 < 16$$ and graph the solution set. 2. **Write the formula and rules:** To solve inequalities, we isolate the variable on one side by performing inverse operations, similar to solving equations. Remember, if we multiply or divide by a negative number, the inequality sign reverses. 3. **Solve the inequality:** $$2n + 4 < 16$$ Subtract 4 from both sides: $$2n + \cancel{4} - \cancel{4} < 16 - 4$$ $$2n < 12$$ Divide both sides by 2: $$\frac{2n}{2} < \frac{12}{2}$$ $$n < 6$$ 4. **Interpret the solution:** The solution set is all values of $n$ less than 6. 5. **Graph the solution:** Since the inequality is strict ($<$), the point at 6 is not included, so we use an open circle at 6 and shade to the left to represent all numbers less than 6. **Final answer:** $$n < 6$$ corresponds to graph B (open circle at 6 with shading to the left).