copyright © 2010 pearson education, inc. all rights reserved sec 3.2 - 1 2.6 set operations and...

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Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 3.2 - 1 2.6 Set Operations and Compound Inequalities

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Page 1: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 3.2 - 1 2.6 Set Operations and Compound Inequalities

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 3.2 - 1

2.6

Set Operations and Compound

Inequalities

Page 2: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 3.2 - 1 2.6 Set Operations and Compound Inequalities

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 3.2 - 2

Set Operations and Compound Inequalities

Find the Intersection of Two sets

The intersection of two sets is defined using the word and.

Intersection of Sets

A B

Page 3: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 3.2 - 1 2.6 Set Operations and Compound Inequalities

Copyright © 2010 Pearson Education, Inc. All rights reserved.

Set Operations and Compound Inequalities

Find the Intersection of Two Sets

–3 –1

04 5

3

Page 4: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 3.2 - 1 2.6 Set Operations and Compound Inequalities

Copyright © 2010 Pearson Education, Inc. All rights reserved.

Set Operations and Compound Inequalities

Compound Inequalities

A compound inequality is a statement made by combining two inequalities with the words and or or.

Examples of Compound Inequalities

Page 5: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 3.2 - 1 2.6 Set Operations and Compound Inequalities

Set Operations and Compound Inequalities

Solving Compound Inequalities

Solve the compound inequality:

Page 6: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 3.2 - 1 2.6 Set Operations and Compound Inequalities

3.2 Set Operations and Compound Inequalities

Solving Compound Inequalities

Solve the compound inequality:

Page 7: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 3.2 - 1 2.6 Set Operations and Compound Inequalities

Set Operations and Compound Inequalities

Solving Compound Inequalities

Solve the compound inequality:

Page 8: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 3.2 - 1 2.6 Set Operations and Compound Inequalities

Copyright © 2010 Pearson Education, Inc. All rights reserved.

Set Operations and Compound Inequalities

Find the Union of Two sets

The union of two sets is defined using the word or.

Union of Sets

A B

Page 9: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 3.2 - 1 2.6 Set Operations and Compound Inequalities

Copyright © 2010 Pearson Education, Inc. All rights reserved.

Set Operations and Compound Inequalities

Find the Union of Two Sets

–3 –1

04 5

3

Page 10: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 3.2 - 1 2.6 Set Operations and Compound Inequalities

Set Operations and Compound Inequalities

Solving Compound Inequalities

Solve the compound inequality:

Page 11: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 3.2 - 1 2.6 Set Operations and Compound Inequalities

Set Operations and Compound Inequalities

Solving Compound Inequalities

Solve the compound inequality: