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A comprehensive guide to understanding the symbols and vocabulary related to inequalities in mathematics. It covers the basic rules for isolating variables, reversing inequality signs, and interpreting symbols such as less than (<) and greater than (>). Additionally, it explains compound inequalities and the concepts of union and intersection. Phrases commonly used to express inequalities are also included.
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CTunstall/Inequality Vocabulary.doc/8/10/
Algebra rules / General Rules: Isolate a positive x on the left side using algebra Reverse the inequality sign when mult/divide by a negative
on the number line Points towards the smaller of two numbers (4 < 7)
○ ( Points to the R ight ● [ Caps the arrow pointing towards larger numbers on the number line Open end is by the larger number (7 > 4)
Compound inequalities: usually in the form -4 < x < 4 but can also be x > -4 and x < 4
CTunstall/Inequality Vocabulary.doc/8/10/
Resembles a smile Smiles because it you get a greater amount Corresponds to the greater than (>) inequality “GreatOR”
Intersection The symbol that: Looks like an A for nd (not or) Resembles a frown Frowns because it you get less Corresponds to the less than (<) inequality “Less thAND”
Phrases that can mean:
Compound inequality phrases: between above phrases joined by “and” within above phrases joined by “or”
< (less than) = (equal) > (greater than) is less than is / are / will be /only more than is under is the same as above is below that is equal to over shorter / smaller than exactly greater / larger than fewer than half ( = .5* or ½ *) exceeds / increased is lower than longer than beneath is higher than a better deal
(less than or equal to) (not equal to)^ (greater than or equal to) at most is not equal to at least maximum is not the same as minimum bottom is different / differs from top is no more than is no less than