MATH 9
Unit 6.3 - Introduction to linear inequalities
1. what are inequalities?
Inequalities are used to model a situation that can be described by a range of numbers instead of a single number.
In other words, INEQUALITIES HAVE MORE THAN ONE answer.
For example:
x > 3 means "x is any value more than 3."
Solutions can be 4, 7, 1000, etc.
x < 3 means "x is any value less than 3."
Solutions can be 2, 1, -1000, etc.
x ≤ 4 means "X is 4 or less" (4, 3, -1000, etc.)
x ≥ 4 means "x is 4 or more"
In other words, INEQUALITIES HAVE MORE THAN ONE answer.
For example:
x > 3 means "x is any value more than 3."
Solutions can be 4, 7, 1000, etc.
x < 3 means "x is any value less than 3."
Solutions can be 2, 1, -1000, etc.
x ≤ 4 means "X is 4 or less" (4, 3, -1000, etc.)
x ≥ 4 means "x is 4 or more"
look at the following examples to understand how to write inequalities (ALSO KNOWN AS "TRANSLATING")
2. how to graph inequalities on a number line
Graphing inequalities is relatively easy. It consists of a horizontal line that (as logic dictates) either goes towards zero OR away from zero. This line indicates that all numbers under it, or "covered by it", are solutions to the inequality.
Inequalities are graphed, then, with horizontal lines that hypothetically would encompass all (or many) of the solutions to its inequality.
Inequalities are graphed, then, with horizontal lines that hypothetically would encompass all (or many) of the solutions to its inequality.
look at the following explanation and some more examples:
videos that may help you
DEFINITION AND SYMBOLS |
BASICS OF GRAPHING INEQUALITIES |
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Interactive online activities
worksheets
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