Question

1. $4y > 28$ or $y + 1 < 4$
2. $\frac{x}{7} < 1$ or $2x > 16$
3. $\frac{p}{10} < -1$ or $p - 5 > 2$
4. $5x > 45$ or $-6x \geq 12$
5. $-10m \geq -30$ and $m - 10 \geq -8$
6. $3n > -30$ and $\frac{n}{2} < 4$
7. $0 \leq \frac{n}{4} < 2$
8. $-10x \geq 100$ or $x - 3 \geq 4$

Explanation:

Let's solve problem 9: \( 4y > 28 \) or \( y + 1 < 4 \)

Step 1: Solve \( 4y > 28 \)

Divide both sides by 4:
\( \frac{4y}{4} > \frac{28}{4} \)
\( y > 7 \)

Step 2: Solve \( y + 1 < 4 \)

Subtract 1 from both sides:
\( y + 1 - 1 < 4 - 1 \)
\( y < 3 \)

Answer:

The solution is \( y > 7 \) or \( y < 3 \) (all real numbers less than 3 or greater than 7).