Interval and Set-builder Notation Worksheet with Answer Key

What's on the worksheet

1. Write each set in interval notation.
   \{x \mid x < 4\}\{t \mid -3 \le t \le 10\}\{x \mid 2 < x\}\{x \mid -7 \ge x\}\{x \mid -1 < x \le 0.5\}
2. Write each graphed set in interval notation and in set-builder notation.
3. Decide if the number negative two belongs to each set, using the inequality that decides it.
   (-2, 5][-2, 0)(-\infty, -2)(−3, −1)[-2, -2]
4. Write each set in interval notation, or say that it is empty.
   \{x \mid -x \ge 3\}\{x \mid x^2 \ge 0\}\{x \mid x + 1 < x\}\{x \mid 4 \le 2x \le 4\}
5. Solve an inequality and write the answer in set-builder and interval notation.
6. Decide if each set is a single interval, or write it as a union.
7. Correct Omar's claim that an interval has no members, and name members.
8. Drive-through sign: write the allowed vehicle heights in set-builder and interval notation.