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mac1105_lecture9_2 - L9 Solving Inequalities Inequalities...

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81 L9 Solving Inequalities Inequalities Involving Absolute Value 1. Open Intervals Graphs Interval Notation x a > a x b < < x b < 2. Half-open Intervals x a x b a x b < 3. Closed Intervals a x b 4. All real numbers ( ) \ x −∞ < < +∞ 82 Properties of Inequalities : 1. Transitive Property If a b < and b c < , then 2. Addition of Inequalities If a b < and c d < , then 3. Addition of a Constant c If a b < , then 4. Multiplying by a Constant c If a b < and 0 c > , then If a b < and 0 c < , then Note : When multiplying or dividing both sides by a negative number, reverse the direction of the inequality.
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