Lesson 3 2 solving inequalities using addition subtraction
This presentation is the property of its rightful owner.
Sponsored Links
1 / 11

Lesson 3-2 -- Solving Inequalities using Addition & Subtraction PowerPoint PPT Presentation


  • 65 Views
  • Uploaded on
  • Presentation posted in: General

Lesson 3-2 -- Solving Inequalities using Addition & Subtraction. Objectives: To use addition and subtraction to solve inequalities. Real-World Connection. Solving inequalities can help with problems involving safe loads on chair lifts or fair rides, as seen in Example 4.

Download Presentation

Lesson 3-2 -- Solving Inequalities using Addition & Subtraction

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Lesson 3 2 solving inequalities using addition subtraction

Lesson 3-2 -- Solving Inequalities using Addition & Subtraction

Objectives: To use addition and subtraction to solve inequalities.


Real world connection

Real-World Connection

  • Solving inequalities can help with problems involving safe loads on chair lifts or fair rides, as seen in Example 4.


Steps same as when solving equations

STEPS(same as when solving equations)

  • Get variable on one side by itself by performing the inverse operation.

  • Graph the solution on a number line.

  • Verify your solution.


Vocabulary properties

Vocabulary & Properties

  • equivalent inequalities – have same solutions

    for example: x + 4 < 7 and x < 3

  • Addition Property of Inequality

    For every real number a, b, and c,

    if a > b then a + c > b + c;

    if a < b then a + c < b + c.

  • Subtraction Property of Inequality

    For every real number a, b, and c,

    if a > b then a - c > b - c;

    if a < b then a - c < b - c.

    These properties are also true for < and >.


Example 1 page 140

Example 1, page 140

  • Solve m – 6 > - 4 and graph the solution.

  • To check: Choose a number from your graphed solution and substitute it in the original inequality to verify you have solved correctly.


Example 2 page 141

Example 2, page 141

  • Ex. 2) Solve n – 7 < -2 and graph the solution.


Example 3 page 142

Example 3, page 142

  • Ex. 3) Solve & graph t + 3 > 8.


Example 4 page 142

Example 4, page 142

  • Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought in 42 blankets on Monday and 65 on Wednesday. How many blankets must the team donate on Friday to make or exceed their goal?


Summary

Summary

  • What did you learn today?


Summary1

Summary

  • How do I solve inequalities with addition and subtraction?

  • How do I graph the solution to the inequality?

  • How do I verify your solution?


Assignment

ASSIGNMENT

  • #3-2, page 142

    every 3rd 3–84, and

    every 3rd 93-120


  • Login