BuyFind

Precalculus: Mathematics for Calcu...

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

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 AC .

Expert Solution

Answer to Problem 44E

  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

To find: the set AB .

Expert Solution

Answer to Problem 44E

  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!