Subjects algebra

Inequality Solutions 5Cfc61

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1. **State the problem:** We need to find which values among 0, 7, and 6 satisfy the inequality $$-1 - 2x \leq -10$$. 2. **Solve the inequality:** Start with the inequality: $$-1 - 2x \leq -10$$ Add 1 to both sides: $$-1 - 2x + 1 \leq -10 + 1$$ $$\cancel{-1} - 2x + \cancel{1} \leq -9$$ Simplifies to: $$-2x \leq -9$$ Divide both sides by -2. Remember, dividing by a negative number reverses the inequality sign: $$x \geq \frac{-9}{-2}$$ $$x \geq \frac{9}{2}$$ So the solution set is: $$x \geq 4.5$$ 3. **Check each value:** - For $x=0$: $0 \geq 4.5$? No. - For $x=7$: $7 \geq 4.5$? Yes. - For $x=6$: $6 \geq 4.5$? Yes. 4. **Conclusion:** Values 7 and 6 satisfy the inequality. **Final answer:** II and III