1. The problem asks to evaluate the expression $2 \times \frac{1}{7} ? 2$ and determine the relationship between $2 \times \frac{1}{7}$ and $2$. 2. First, calculate $2 \times \frac{1}{7}$ using multiplication of a whole number and a fraction: $$2 \times \frac{1}{7} = \frac{2}{7}$$ 3. Now compare $\frac{2}{7}$ and $2$: - Since $\frac{2}{7}$ is approximately $0.2857$, and $2$ is much larger, - We have $\frac{2}{7} < 2$. 4. Therefore, the correct inequality symbol to replace the question mark is $<$. Final answer: $$2 \times \frac{1}{7} < 2$$