Compound Inequalities: And, or Worksheet with Answer Key

What's on the worksheet

1. Solve each compound inequality and write the answer in interval notation.
   2x - 7 \ge -3 and x + 6 < 15-3x > 12 or x - 5 \ge 05(x - 2) \le 3x + 4 and 7 - x < 2x + 1\dfrac{x}{3} + 2 < 1 or 4 - 2x \le x - 8
2. Solve each three-part inequality and write the answer in interval notation.
   -6 \le 4x + 2 < 14-1 < \dfrac{x - 4}{2} \le 35 \le 8 - 3x < 20-4 < \dfrac{3 - x}{5} < 1
3. Solve a three-part inequality with variables in every part and explain why you cannot work on all parts at once.
4. Hannah's bike computer: find the speeds that trigger the warning.
5. Courier problem: find how many jars fit in a box within the weight limits.
6. Solve a compound inequality with a number k, first when k is 5, then in general.
7. Find the mistake in Mateo's answer to an or inequality.