Multiple Choice

1. Solve the inequality: $-3x + 7 \le 19$.

   $x \ge -4$

   $x \le -4$

   $x \ge 4$

   $x \le 4$

2. Solve the inequality: $2(3x - 5) - 4x > -16$.

   $x < 3$

   $x > -3$

   $x < -3$

   $x > 3$

3. Solve the inequality: $\frac{1}{2}x + 5 \ge \frac{3}{4}x - 2$.

   $x \ge 28$

   $x \le -28$

   $x \ge -28$

   $x \le 28$

4. Solve the compound inequality: $5 < 2x - 3 \le 11$.

   $4 < x \le 7$

   $x \le 4$ and $x > 7$

   $x < 4$ or $x \ge 7$

   $x < 4$ and $x \ge 7$

5. Solve the compound inequality: $-4x + 1 > 9$ or $3(x - 2) \ge 9$.

   $x < -2$ and $x \ge 5$

   $x < -2$ or $x \ge 5$

   $x < -2$

   $-2 < x \le 5$

6. Solve the inequality: $-(x - 5) + 2x \ge 3(x + 1) - 8$.

   $x \le 5$

   $x \ge 5$

   $x \le -5$

   $x \ge -5$

7. Solve the inequality: $0.4x - 1.5 < 0.1x + 3$.

   $x < 1.5$

   $x > 15$

   $x < 15$

   $x < 15$

8. Solve the compound inequality: $-2 \le \frac{x}{3} + 1 < 4$.

   $-9 < x \le 9$

   $-9 \le x < 9$

   $-9 \le x \le 9$

   $-9 < x < 9$

9. Solve the inequality: $2(x + 4) - 5x < 3(x - 1) - 6x$.

   No solution

   $x < -11$

   All real numbers

   $x > 11$

10. Solve the inequality: $5x - 7(x - 1) \ge 3 - 2x + 4$.

    All real numbers

    No solution

    $x \ge 0$

    $x \le 0$

11. A cell phone plan costs $\$30$ per month plus $\$0.05$ per minute for calls. If a user wants their monthly bill to be no more than $\$50$, what is the maximum number of minutes ($m$) they can use?

    $600$ minutes

    $400$ minutes

    $400$ minutes

    $500$ minutes

12. The ideal temperature for a certain chemical reaction is between $25^\circ C$ and $35^\circ C$, inclusive. If the current temperature is $10^\circ C$ and is increasing by $5^\circ C$ per hour, how many hours ($h$) will it take for the temperature to be within the ideal range?

    $3 < h < 5$

    $3 \le h \le 5$

    $h \ge 3$ and $h \le 5$

    $h \le 3$ or $h \ge 5$

13. Solve the compound inequality: $-2x - 3 \ge 7$ or $-5x + 1 < -9$.

    $x \le -5$ or $x > 2$

    $-5 \le x < 2$

    $x \ge -5$ or $x < 2$

    $x \le -5$ and $x > 2$

14. Solve the inequality: $3(2x - 1) - 4 \le 2(x + 5) - x$.

    $x < 17/5$

    $x \le 17/5$

    $x \ge 17/5$

    $x \ge 13/5$

15. Solve the compound inequality: $4x - 6 < 2x + 8$ and $3x + 5 \ge x - 1$.

    $x < 7$ or $x \ge -3$

    $x < 7$

    $-3 \le x < 7$

    $x < -3$ or $x \ge 7$

16. Solve the compound inequality: $2(x + 1) < 2x + 5$ or $-(x + 3) \le 5$.

    $x \ge -8$

    All real numbers

    No solution

    $x \le -8$

17. Solve the inequality: $\frac{2x - 3}{4} + \frac{x}{2} > \frac{5x - 1}{6}$.

    $x < 7/2$

    $x > 7/2$

    $x < -7/2$

    $x > 7/5$

18. Solve the compound inequality: $3x + 2 < -4$ and $-2(x - 5) \le -4$.

    $x < -2$ or $x \ge 7$

    All real numbers

    $-2 < x \le 7$

    No solution

19. Solve the inequality: $-[2(x - 3) + 5] < 3x - 1$.

    $x < 2/5$

    $x > -2/5$

    $x < 0$

    $x > 2/5$

20. Solve the compound inequality: $3x - 1 < 11$ or $2(x + 5) \ge x + 1$.

    $-9 \le x < 4$

    All real numbers

    $x \ge -9$

    $x < 4$