1. **State the problem:** Graph the inequality $x < 4$ on a number line. 2. **Understand the inequality:** $x < 4$ means all values of $x$ are less than 4 but do not include 4 itself. 3. **Graphing rules:** Use an open circle at 4 to show 4 is not included, and shade the number line to the left to represent all values less than 4. --- 1. **State the problem:** Solve and graph the inequality $2x < 10$. 2. **Solve the inequality:** $$2x < 10$$ Divide both sides by 2: $$\cancel{2}x < \frac{10}{\cancel{2}}$$ $$x < 5$$ 3. **Graphing rules:** Use an open circle at 5 and shade to the left to represent all $x$ less than 5. --- 1. **State the problem:** Solve and graph the inequality $4x \leq 8$. 2. **Solve the inequality:** $$4x \leq 8$$ Divide both sides by 4: $$\cancel{4}x \leq \frac{8}{\cancel{4}}$$ $$x \leq 2$$ 3. **Graphing rules:** Use a closed circle at 2 to show 2 is included, and shade to the left to represent all $x$ less than or equal to 2.