When solving the inequality $-10 < 5x + 5 < 20$, what is the correct first step to isolate the variable term?

Subtract 5 from all three parts.

Subtract 5 from the middle part only.

Solving Multi-Step Compound Inequalities Practice — Grade 9 math

1. Solve the compound inequality for $x$: $1 \le 4x - 7 \le 13$. What is the maximum possible value for $x$? ___
2. Which inequality represents the solution to $-12 < 4(x - 1) < 20$?
- A. -4 < x < 4
- B. -2 < x < 6
- C. -11 < 4x < 21
- D. -3 < x < 5
3. Solve the inequality $5 \le -3x + 11 \le 23$. What is the minimum possible value for $x$? ___
4. When solving the inequality $-10 < 5x + 5 < 20$, what is the correct first step to isolate the variable term?
- A. Divide all three parts by 5.
- B. Subtract 5 from all three parts.
- C. Add 5 to all three parts.
- D. Subtract 5 from the middle part only.
5. Solve for $x$: $-10 \le 2(3x + 4) \le 32$. Write the solution as a compound inequality. ___
6. Solve the compound inequality for $x$: $1 < 3x - 2 < 13$. Write your answer in the form $a < x < b$. Answer: ___
7. What is the solution to the compound inequality $6 \le 2x + 8 < 20$?
- A. -1 \le x < 6
- B. 7 \le x < 14
- C. -1 \le x < 14
- D. -1 < x \le 6
8. Solve the compound inequality for $x$: $-5 < 5(x + 1) < 20$. Write your answer in the form $a < x < b$. Answer: ___
9. When solving the inequality $-10 < 2x - 4 < 6$, what is the correct first step to isolate the variable term?
- A. Add 4 to all three parts.
- B. Subtract 4 from all three parts.
- C. Divide all three parts by 2.
- D. Add 4 to $-10$ and $6$ only.
10. Solve for $x$: $-1 < \frac{x}{3} + 1 < 5$. Write your answer as a compound inequality. Answer: ___