Linear Inequality 16D400
1. **State the problem:** Solve the inequality $2x + y < 2$ for $y$.
2. **Rewrite the inequality:** To express $y$ in terms of $x$, subtract $2x$ from both sides:
$$y < 2 - 2x$$
3. **Interpretation:** This inequality represents all points $(x,y)$ below the line $y = 2 - 2x$ on the coordinate plane.
4. **Summary:** The solution set is all $(x,y)$ such that $y$ is less than $2 - 2x$.
Final answer:
$$y < 2 - 2x$$