Section 2.8 – Absolute Value Equations and Inequalities Recall ...
Section 2.8 – Absolute Value Equations and Inequalities Recall ...
Section 2.8 – Absolute Value Equations and Inequalities Recall ...
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How to solve absolute value equations<br />
1. Isolate the absolute value expression on one side <strong>and</strong> a number on the other by adding or<br />
subtracting first, then multiplying or dividing. Get: Expression = Number<br />
2. If the resulting equation is absolute value equals a positive number, rewrite into the two<br />
equivalent equations. These equations do NOT have absolute value signs!<br />
3. If the resulting equation is absolute value equals 0, set the expression in the absolute<br />
value equal to 0 <strong>and</strong> solve.<br />
4. If the resulting equation is absolute value equals a negative number, there is no solution,<br />
you can stop here <strong>and</strong> state “no solution”<br />
Example 3: Solve x + 4 = 9.<br />
Example 4: Solve 2x − 4 = 8 .<br />
Example 5: Solve 4 x − 6 = 20.<br />
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