Let A = {x Rx ≥ 5 and x < 18}, B = {x € R|x ≥ 15 and x ≤ 22}, C = {x € Rx > 8 and x < 12} (a) Find (AUB) nC. (b) Find An BNC. (c) Find Ce

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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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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Let \( A = \{ x \in \mathbb{R} \mid x \geq 5 \text{ and } x < 18 \} \), \( B = \{ x \in \mathbb{R} \mid x \geq 15 \text{ and } x \leq 22 \} \), \( C = \{ x \in \mathbb{R} \mid x > 8 \text{ and } x < 12 \} \).

(a) Find \( (A \cup B) \cap C \).

(b) Find \( A \cap B \cap C \).

(c) Find \( C^c \).
Transcribed Image Text:Let \( A = \{ x \in \mathbb{R} \mid x \geq 5 \text{ and } x < 18 \} \), \( B = \{ x \in \mathbb{R} \mid x \geq 15 \text{ and } x \leq 22 \} \), \( C = \{ x \in \mathbb{R} \mid x > 8 \text{ and } x < 12 \} \). (a) Find \( (A \cup B) \cap C \). (b) Find \( A \cap B \cap C \). (c) Find \( C^c \).
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