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 ...
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
How to solve absolute value inequalities:<br />
1. Rearrange the equation so that you have the form:<br />
<strong>Absolute</strong> value inequality sign number<br />
2. Write the equivalent inequality relation or relations by the rules on the last page. Note<br />
that these equivalent inequalities no longer have absolute value signs!<br />
3. Solve each inequality for x <strong>and</strong> express the answer in interval notation<br />
4. If the equation is equivalent to “x > 3 or x < -3” type inequality, use the union symbol<br />
between the two intervals in your answer.<br />
Example 9: Solve the inequality <strong>and</strong> express your answer in interval notation.<br />
a. x ≤ 5<br />
b. x < 5<br />
c. x ≥ 5<br />
d. x<br />
> 5<br />
6
Change language