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
Inequality Solutions 5Cfc61
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