Questions: Compound Inequality to Solve A. m-2<-8 or m/8>1 D. r+5 ≥ 12 or 3r<0

Solution Steps

We are given $m - 2 < -8$ or $\frac{m}{8} > 1$.

First, let's solve $m - 2 < -8$. Adding 2 to both sides, we get $m < -6$.

Next, let's solve $\frac{m}{8} > 1$. Multiplying both sides by 8, we get $m > 8$.

So the solution to the compound inequality is $m < -6$ or $m > 8$.

The second inequality is $-1 < 9 + n < 17$.

Subtract 9 from all parts of the inequality to get $-1 - 9 < n < 17 - 9$, which simplifies to $-10 < n < 8$.

The third inequality is $-3 \le \frac{p}{2} < 0$.

Multiply all parts of the inequality by 2 to get $-3 \times 2 \le p < 0 \times 2$, which simplifies to $-6 \le p < 0$.

Final Answer: