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# A16-4 Absolute Value

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### A16-4 Absolute Value

1. 1. Solving Absolute-Value Equations and Inequalities Algebra 1 6.4 p. 353
2. 2. Absolute Values <ul><li>The expression inside the absolute value symbols can be either positive or negative. </li></ul>
3. 3. Absolute Values <ul><li>The expression inside the absolute value symbols can be either positive or negative. </li></ul><ul><ul><li>I.e., has two solutions: </li></ul></ul>
4. 4. Absolute Value Equations <ul><li>Remember that absolute value symbols work like parentheses in the order of operations. </li></ul>
5. 5. Absolute Value Equations <ul><li>Remember that absolute value symbols work like parentheses in the order of operations. You have to under everything else before you solve for the absolute values. </li></ul>
6. 6. Absolute Value Inequalities <ul><li>Absolute value inequalities create compound inequalities joined by “and” or “or.” </li></ul>
7. 7. Absolute Value Inequalities <ul><li>Solve </li></ul><ul><li>If is positive: </li></ul>
8. 8. Absolute Value Inequalities <ul><li>Solve </li></ul><ul><li>If is positive: </li></ul><ul><li>If is negative: </li></ul>
9. 9. Absolute Value Inequalities <ul><li>Solve </li></ul><ul><li>If is positive: </li></ul><ul><li>If is negative: </li></ul>
10. 10. Absolute Value Inequalities <ul><li>The solution is all real numbers greater than 1 and less than x, which is written </li></ul><ul><li>or </li></ul>