# the set A ∩ C . ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.1, Problem 44E

(a)

To determine

## To find: the set A∩C .

Expert Solution

AC={x|2x5}

### Explanation of Solution

Given information:

Three sets are givenas A={x|x2},B={x|x<4} , and C={x|1<x5}

Formula used:

For any two or more sets, intersection of the sets gives the elements which are the only common elements of the sets. Intersection is represented by the symbol .

Calculation:

Consider the given sets.

A={x|x2}

and

C={x|1<x5}

Now, AC will contains common elements of A and C.

AC={x|x2}{x|1<x5}={x|2x5}

(b)

To determine

Expert Solution

AB={x|2x<4}

### Explanation of Solution

Given information:

Three sets are given as A={x|x2},B={x|x<4} , and C={x|1<x5}

Formula used:

For any two or more sets, intersection of the sets gives the elements which are the only common elements of the sets. Intersection is represented by the symbol .

Calculation:

Consider the given sets.

and

B={x|x<4}

Now, AB will contains common elements of B and A.

AB={x|x2}{x|x<4}={x|2x<4}

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers! 