A and B are sets of real numbers defined as follows. A = {z | z2 3} B = {z | z< 8} Write A N B and A U B using interval notation. If the set is empty, write Ø. (0,0) [0,미] ANB = || [0,0) Ø A UB = I 00 -00
A and B are sets of real numbers defined as follows. A = {z | z2 3} B = {z | z< 8} Write A N B and A U B using interval notation. If the set is empty, write Ø. (0,0) [0,미] ANB = || [0,0) Ø A UB = I 00 -00
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Sets and Interval Notation**
_A and B_ are sets of real numbers defined as follows:
\[ A = \{ z \mid z \geq 3 \} \]
\[ B = \{ z \mid z < 8 \} \]
Write \( A \cap B \) and \( A \cup B \) using interval notation. If the set is empty, write \( \varnothing \).
**Solution Area:**
- \( A \cap B = [3, 8) \)
- \( A \cup B = (-\infty, \infty) \)
**Explanation of Symbols:**
- \( (a, b) \) denotes an open interval from _a_ to _b_, excluding _a_ and _b_.
- \([a, b]\) denotes a closed interval from _a_ to _b_, including both _a_ and _b_.
- \(\varnothing\) represents an empty set.
- \(\infty\) and \(-\infty\) are symbols used to indicate unboundedness in positive and negative directions, respectively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2802132-015a-481b-8a22-8b81eb97db73%2F89c95e60-287f-4f7c-8425-8ac0cf357e46%2Fjv0xipa_processed.png&w=3840&q=75)
Transcribed Image Text:**Sets and Interval Notation**
_A and B_ are sets of real numbers defined as follows:
\[ A = \{ z \mid z \geq 3 \} \]
\[ B = \{ z \mid z < 8 \} \]
Write \( A \cap B \) and \( A \cup B \) using interval notation. If the set is empty, write \( \varnothing \).
**Solution Area:**
- \( A \cap B = [3, 8) \)
- \( A \cup B = (-\infty, \infty) \)
**Explanation of Symbols:**
- \( (a, b) \) denotes an open interval from _a_ to _b_, excluding _a_ and _b_.
- \([a, b]\) denotes a closed interval from _a_ to _b_, including both _a_ and _b_.
- \(\varnothing\) represents an empty set.
- \(\infty\) and \(-\infty\) are symbols used to indicate unboundedness in positive and negative directions, respectively.
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