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INSTRUCTORS Carleen Eaton Grant Fraser Eric Smith
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For more information, please see full course syllabus of Algebra 1
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  • Practice Questions

  • Download Lecture Slides

  • Table of Contents

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Addition & Subtraction Techniques

  • If the same number is added or subtracted from both sides of an inequality, the resulting inequality has the same solutions as the original one.
  • Use set builder notation to describe the solution set of an inequality.
  • The solutions to inequalities can also be shown by shading the solution set on a number line. Endpoints should be drawn as solid dots if they are part of the solution set, and open circles otherwise.

Addition & Subtraction Techniques

x − 14 ≤ 22
  • x − 14 + 14 ≤ 22 + 14
x ≤ 36
x + 17 > 54
x > 37
46 + y < 51
y < 5
15 ≥ 12 + x
3 ≥ x
18 + x ≤ 40
x ≤ 22
s + 87 ≤ 113
s ≤ 26
g − 11 > 21
g > 31
7 ≤ u − 16
23 ≤ u
37 < 19 + p
18 < p
63 ≥ d + 45
18 ≥ d
5h ≥ 4h − 4
h ≥ − 4

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

Addition & Subtraction Techniques

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Fundamental Principle 0:09
    • Example
  • Solutions of Inequalities 1:51
    • Inequality
    • Set Builder Notation
    • Graph on a Number Line
    • Examples
  • Example 1: Solve the Inequality 4:59
  • Example 2: Solve the Inequality 7:00
  • Example 3: Solve the Inequality 8:10
  • Example 4: Solve the Inequality 9:47