1. Problem: Determine if the inequality $\frac{2}{3} \neq \frac{8}{12}$ is true or false. 2. Formula and rules: To compare fractions, convert them to a common denominator or simplify them. 3. Simplify $\frac{8}{12}$: $\frac{8}{12} = \frac{2 \times 4}{3 \times 4} = \frac{2}{3}$. 4. Since $\frac{2}{3} = \frac{8}{12}$, the statement $\frac{2}{3} \neq \frac{8}{12}$ is FALSE. Final answer: FALSE