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# Inequalities

### Vocabulary for Algebra I - Inequalities

Compound Inequality p.170 Two inequalities that are combined into one statement by the word "and" or "or"
Equivalent Inequality p. 142 Inequalities with the same solution. For example - x > 5 and x+2 > 7 are equivalent inequalities
Inequality p. 136 A mathematical expression that shows ranges of possible responses - using signs like >, <, etc.
Intersection p. 171 The intersection of two sets is the set of all elements that are common to both sets. For example: A = {1,2,3,4} B = {1,3,5,7,9} Intersection of A and B = {1,3}
Solution of an Inequality p. 136 The value or values that make the inequality true. Inequality: x+2 < 6 Solution: x < 4
Union p.172 The union of two sets is the set of all elements that are in either set. A = {1,2,3,4} B = {1,3,5,7,9} Union of A and B = {1,2,3,4,5,7,9}
Property of Inequalities - Multiplication and Division by Positive Numbers p.148 You can multiply or divide both sides of an inequality by the same positive number, and the statement will still be true.
Property of Inequalities - Multiplication and Division by Negative Numbers p.149 If you multiply or divide both sides of an inequality by a negative number, you must REVERSE the inequality symbol for the statement to still be true.
Property of Inequalities - Addition and Subtraction You can add or subtract the same number to both sides of an inequality, and the statement will still be true.
Created by: gklee

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