Subjects algebra

Inequality Standard Form Acc57C

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1. **State the problem:** Convert the inequality $-x - y < -2$ into standard form. 2. **Recall the standard form:** The standard form of a linear inequality is $Ax + By < C$ or $Ax + By > C$, where $A$, $B$, and $C$ are integers and $A \geq 0$. 3. **Start with the given inequality:** $$-x - y < -2$$ 4. **Multiply both sides by $-1$ to make the coefficient of $x$ positive.** Remember, multiplying an inequality by a negative number reverses the inequality sign: $$\cancel{-1} \times (-x - y) > \cancel{-1} \times (-2)$$ $$x + y > 2$$ 5. **Rewrite the inequality in standard form:** $$x + y > 2$$ 6. **Explanation:** The inequality is now in standard form with $A=1$, $B=1$, and $C=2$. The inequality sign is $>$, indicating the solution region is above the line $x + y = 2$. **Final answer:** $$x + y > 2$$