1. **State the problem:** We want to prove algebraically whether the ordered pair $(2,1)$ is a solution to the inequality $$3x - 2y > 4$$. 2. **Rewrite the inequality:** Start with the given inequality: $$3x - 2y > 4$$ 3. **Substitute the ordered pair $(2,1)$ into the inequality:** Replace $x$ with $2$ and $y$ with $1$: $$3(2) - 2(1) > 4$$ 4. **Calculate the left side:** $$6 - 2 > 4$$ $$4 > 4$$ 5. **Evaluate the inequality:** Since $4$ is not greater than $4$ (they are equal), the inequality is false. 6. **Conclusion:** The ordered pair $(2,1)$ does NOT satisfy the inequality $$3x - 2y > 4$$, so it is NOT a solution. --- **Additional notes:** - The inequality uses a dashed line because it is a strict inequality ($>$). - The shaded region is below the line because the inequality is $>$ when rearranged to slope-intercept form.