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Algebra 1: Section 1: Inequalities
Objectives
After you have completed this section, you will be able to:
- Solve inequalities involving addition or subtraction.
- Solve inequalities involving multiplication or division.
- Translate words into inequalities or inequalities into words and/or solve the problem.
- Represent solutions to inequalities as graphs or solution sets.
Vocab List
Solving Inequalities by Addition and
Subtraction
Any mathematical sentence in which we use >, ≥, <, or ≤ is called an inequality. These are the meanings of the symbols.
Symbol |
Meaning |
Use |
> |
is greater than |
x > 3; includes all numbers greater than 3, but not 3 itself |
≥ |
is greater than or equal to |
x ≥ 5; includes 5 and all numbers greater than 5 |
< |
is less than |
x < 6.2; includes all numbers less than 6.2, but not 6.2 itself |
≤ |
is less than or equal to |
x ≤ ½ ; includes ½ and all numbers less than ½ |
Tip: The < symbol resembles the letter L for Less Than.
Click here for a presentation on Working with Inequalities.
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