1. State the problem: Solve the inequality $$|8d| - 2 \geq 14$$ for $$d$$ and write the answer as a compound inequality. 2. Isolate the absolute value expression: $$|8d| - 2 \geq 14$$ Add 2 to both sides: $$|8d| \geq 16$$ 3. Write the corresponding compound inequality for $$|8d| \geq 16$$: This means that either $$8d \geq 16$$ or $$8d \leq -16$$ 4. Solve each inequality for $$d$$: From $$8d \geq 16$$, Divide both sides by 8: $$d \geq 2$$ From $$8d \leq -16$$, Divide both sides by 8: $$d \leq -2$$ 5. Write the final compound inequality: $$d \leq -2 \quad \text{or} \quad d \geq 2$$ This means the solution set is all $$d$$ less than or equal to $$-2$$ or greater than or equal to $$2$$.