To solve the inequality $\frac{y}{-4} < 5$, what is the correct first step?

Multiply both sides by -4 and reverse the inequality sign to $>$.

Multiply both sides by -4 and keep the inequality sign as $<$.

Multiply both sides by 4 and keep the inequality sign as $<$.

Solving Inequalities by Multiplying or Dividing Practice — Grade 9 math

1. Solve the inequality $-5x + 8 \ge 23$. The solution is $x \le$ ___.
2. To solve the inequality $\frac{y}{-4} < 5$, what is the correct first step?
- A. Multiply both sides by -4 and reverse the inequality sign to $>$.
- B. Multiply both sides by -4 and keep the inequality sign as $<$.
- C. Multiply both sides by 4 and keep the inequality sign as $<$.
- D. Add 4 to both sides.
3. Find the solution to the inequality $14 - 2z < 20$. The solution is $z >$ ___.
4. Which of the following inequalities is the correct solution for $30 \ge -5k$?
- A. k \ge -6
- B. k \le -6
- C. k \ge 6
- D. k \le 6
5. Solve the inequality $\frac{x}{-3} + 1 > 7$. The solution is $x <$ ___.
6. Solve the inequality for $x$: $-4x \ge 24$. The solution is $x \le$ ___.
7. Which of the following is the correct solution to the inequality $-7p < 35$?
- A. $p < -5$
- B. $p > 5$
- C. $p > -5$
- D. $p < 5$
8. Solve the inequality for $y$: $-9y \le -63$. The solution is $y \ge$ ___.
9. When solving the inequality $-2x + 5 > 11$, which step requires you to reverse the inequality symbol?
- A. Subtracting 5 from both sides
- B. Adding 5 to both sides
- C. Dividing both sides by -2
- D. The symbol is not reversed
10. Solve for $z$: $-8z > 20$. The solution is $z <$ ___. (Enter as a fraction in simplest form, like -a/b)