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11 Cards in this Set

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