   # Let the universal set be R, the set of all real numbers, and let A = { x ∈ R | − 3 ≤ x ≤ 0 } , B = { x ∈ R|-|&lt;x&lt;2 } , and C = { x ∈ R|6&lt;x ≤ 8 } . Find each of the following: a. A ∪ B b. A ∩ B c. A e d. A ∪ C e. A ∩ C f. B e g. A e ∩ B x h. A e ∪ B x i. ( A ∩ B ) x j. ( A ∪ B ) e ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193
Chapter 6.1, Problem 12ES
Textbook Problem
1 views

## Let the universal set be R, the set of all real numbers, and let A = { x ∈ R | − 3 ≤ x ≤ 0 } ,     B = { x ∈ R|-|<x<2 } , and C = { x ∈ R|6<x ≤ 8 } . Find each of the following:a. A ∪ B b. A ∩ B c. A e d. A ∪ C e. A ∩ C f. B e g. A e ∩ B x h. A e ∪ B x i. ( A ∩ B ) x j. ( A ∪ B ) e

To determine

(a)

Find AB.

### Explanation of Solution

Given information:

Let the universal set be R, the set of all real numbers, and let

A={xR|3x0},B={xR|1<x<2} and C={xR|6<x8}.

Calculation:

A={xR|3x0}B={xR|1<x<</

To determine

(b)

Find AB.

To determine

(c)

Find Ac.

To determine

(d)

Find AC.

To determine

(e)

Find AC.

To determine

(f)

Find Bc.

To determine

(g)

Find AcBc.

To determine

(h)

Find AcBc.

To determine

(i)

Find (AB)c.

To determine

(j)

Find (AB)c.

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