1.5 Solving Inequalities
Upcoming SlideShare
Loading in...5
×
 

Like this? Share it with your network

Share

1.5 Solving Inequalities

on

  • 6,042 views

 

Statistics

Views

Total Views
6,042
Views on SlideShare
5,982
Embed Views
60

Actions

Likes
0
Downloads
98
Comments
0

5 Embeds 60

http://tritonalgebra2.wikispaces.com 42
http://jea8002.1bestarinet.net 14
http://blackboard.cpsb.org 2
https://dmacc.blackboard.com 1
https://ri-cranston.myfollett.com 1

Accessibility

Upload Details

Uploaded via as Microsoft PowerPoint

Usage Rights

© All Rights Reserved

Report content

Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
  • Full Name Full Name Comment goes here.
    Are you sure you want to
    Your message goes here
    Processing…
Post Comment
Edit your comment
  • Add to homework for 1.5 WS

1.5 Solving Inequalities Presentation Transcript

  • 1. 1.5 SOLVING INEQUALITIES
  • 2. INEQUALITIES
    • An inequality is a relationship in which two quantities may not be equal.
      • Phrases such as “at most” and “at least” suggest this type of relationship
  • 3.  
  • 4. WRITE THE INEQUALITY THAT REPRESENTS THE SENTENCE.
    • 5 fewer than a number is at least 12
    • The product of a number and 8 is greater than 25
  • 5. SOLVING INEQUALITIES
    • The solutions of an inequality are the numbers (values) that make it true.
    • We solve inequalities the same way we solve equations
      • Except: when we multiply or divide by a negative number , we reverse the inequality symbol
  • 6. SOLVE EACH INEQUALITY. GRAPH THE SOLUTION.
  • 7. SOLVE EACH INEQUALITY. GRAPH THE SOLUTION.
  • 8. SOLVE EACH INEQUALITY. GRAPH THE SOLUTION.
  • 9. SOLVE EACH INEQUALITY. GRAPH THE SOLUTION.
  • 10. NO SOLUTION OR ALL REAL NUMBERS AS SOLUTIONS
    • When solving inequalities, we can reach solutions that seem strange and require analysis.
      • If we reach a false statement , there are no solutions , and the statement is never true
      • If the variable(s) drop out and we have a true statement or we reach a point where one side is identical to the other, the statement is always true for all real numbers .
  • 11. IS THE INEQUALITY ALWAYS, SOMETIMES, OR NEVER TRUE?
  • 12. IS THE INEQUALITY ALWAYS, SOMETIMES, OR NEVER TRUE?
  • 13. IS THE INEQUALITY ALWAYS, SOMETIMES, OR NEVER TRUE?
  • 14. COMPOUND INEQUALITIES
    • A compound inequality is an inequality statement that joins two inequalities using the word and or the word or .
  • 15. COMPOUND INEQUALITIES
    • To solve a compound inequality containing and :
      • Find all values of the variable that make both inequalities true
  • 16. SOLVE THE COMPOUND INEQUALITY. GRAPH THE SOLUTION.
  • 17. COMPOUND INEQUALITIES
    • To solve a compound inequality containing or :
      • Find all values of the variable that make at least one of the inequalities true.
  • 18. SOLVE THE COMPOUND INEQUALITY. GRAPH THE SOLUTION.
  • 19. SOLVE THE COMPOUND INEQUALITY. GRAPH THE SOLUTION.
  • 20. SOLVE THE COMPOUND INEQUALITY. GRAPH THE SOLUTION.
  • 21. SOLVE THE COMPOUND INEQUALITY. GRAPH THE SOLUTION.
  • 22.