Subjects algebra

Linear Inequality 16D400

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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: $$y < 2 - 2x$$