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11 Cards in this Set
- Front
- Back
Inequality
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a statement that two quantities are not equal... quantities are compared using symbols such as < and >
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Solution of an Inequality
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any value of the variable that makes the inequality true
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Properties of Inequalities (Addition/Subtraction)
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You can add or subtract the same number to both sides of an inequality, and the statement will still be true
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Properties of Inequalities (Multiplication/Division by Positive Numbers)
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You can multiply or divide both sides of an inequality by the same positive number, and the statement will still be true
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Properties of Inequalites (Multiplication/Division by Negative Numbers)
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If you multiply or divide both sides of an inequality by the same negative number, you must reverse the inequality symbol for the statement to still be true
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Inequality with a solution of All Real Numbers
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Inequality that is true no matter what value is substituted for the variable...variables cancel when solving and the statement left is true.
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Inequality that has No Solutions
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Inequality that is false no matter what value is substituted for the variable...variables cancel when solving and the statement left is false.
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Compound Inequality
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When two inequalities are combined into one statement by the words AND or OR
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Intersection
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The overlapping region on the graph of a compound inequality involving AND...shows the numbers that are solutions to both inequalities
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Union
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The combined regions on the graph of a compound inequality involving OR...shows the numbers that are solutions of either inequality
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Solving Absolute Value Inequalities
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Isolate the absolute value expression. Then use Compound Inequalities to solve.
< AND > OR |