When solving an inequality, which of the following actions requires you to reverse the inequality symbol?

Adding a negative number to both sides

Subtracting a positive number from both sides

Multiplying both sides by a negative number

Dividing both sides by a positive number

Solving Inequalities in One Variable Practice — Grade 11 math

1. Solve the inequality for $y$: $4y - 7 < 13$. The solution is $y <$ ___.
2. Find the solution to the inequality $4(x + 3) \leq 24$. The solution is $x \leq$ ___.
3. Solve the inequality $10a - 5 \geq 6a + 11$.
- A. $a \geq 4$
- B. $a \leq 4$
- C. $a \geq 1.5$
- D. $a \leq 1.5$
4. When solving an inequality, which of the following actions requires you to reverse the inequality symbol?
- A. Adding a negative number to both sides
- B. Subtracting a positive number from both sides
- C. Multiplying both sides by a negative number
- D. Dividing both sides by a positive number
5. Solve for $w$: $2w - 9 > 7w + 1$. The solution is $w <$ ___.
6. Solve the inequality $-3 > \frac{2x}{3} + 1$.
- A. $x < -6$
- B. $x > -6$
- C. $x < -3$
- D. $x > -3$
7. Solve the inequality $\frac{x}{3} \le 4$.
- A. $x \le 12$
- B. $x \ge 12$
- C. $x \le \frac{4}{3}$
- D. $x \ge \frac{4}{3}$
8. Solve the inequality $2x + 3 > 7$.
- A. $x > 2$
- B. $x < 2$
- C. $x > 5$
- D. $x < 5$
9. Solve the inequality $-3x + 2 \le 11$.
- A. $x \ge -3$
- B. $x \le -3$
- C. $x \ge 3$
- D. $x \le 3$
10. Solve the inequality $-3y < 15$.
- A. $y > -5$
- B. $y < -5$
- C. $y > 5$
- D. $y < 5$