1. **State the problem:** We are given the inequality $4x - 3y \leq 3$ and asked to check if the point $(2,1)$ satisfies this inequality. 2. **Substitute the values:** Substitute $x=2$ and $y=1$ into the inequality: $$4(2) - 3(1) \leq 3$$ 3. **Calculate the left side:** $$8 - 3 \leq 3$$ 4. **Simplify:** $$5 \leq 3$$ 5. **Interpret the result:** Since $5$ is not less than or equal to $3$, the inequality is false for the point $(2,1)$. **Final answer:** The point $(2,1)$ does not satisfy the inequality $4x - 3y \leq 3$.