Section 1.3 Absolute Value Equations Inequalities

# Example solve the equation 3x 5 7 applications

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Unformatted text preview: the equation: | − 3x | + 5 = 7. Applications Outline Equations Involving Absolute Value Inequalities Involving Absolute Value Applications Inequalities Involving Absolute Value Theorem Suppose X is an an algebraic expression and k > 0. 1 2 |X | < k if and only if −k < X < k. |X | > k if and only if X < −k or X > k. Example 1 |y + 1| ≤ 3. 2 5|2x + 7| + 1 ≥ 11. |x | < k −k 0 k |x | > k −k 0 k Outline Equations Involving Absolute Value Inequalities Involving Absolute Value Applications Example Example On a given day, the volume of traﬃc at a busy intersection averages 726 cars per hour. During rush hour, the volume is much higher; during oﬀ hours, much lighter. Find the range of this volume if it never varies by more than 235 cars per hour from the average....
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## This note was uploaded on 02/10/2014 for the course MATH 1050 taught by Professor K.jplatt during the Spring '14 term at Snow College.

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