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Solving Absolute Value Inequalities

HS: High School

Created on November 26, 2024

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Transcript

Objective: solve absolute value inequalities

START

solving absolute value inequalities

NEXT

Less Than's are rewritten with AND

Greater Than's are rewritten with OR

recall

Write the final inequality.
Graph the solution set.
Solve each case.
Rewrite with AND/OR.
Isolate the absolute value.

NEXT

steps

Write the final inequality.
Graph the solution set.
Solve each case.
Rewrite with AND/OR.
Isolate the absolute value.

NEXT

steps

3|x+4| < 33

NEXT

5|8-x|+7 > 22

NEXT

-4|x+1| - 18 < 6

NEXT

|x| > -10

What's strange here?

|x| < -10

What's wrong here?

NEXT

An absolute value always yields a positive value.

|x| > -10

An absolute value can never yield a negative value.

|x| < -10

NEXT

Remember your Practice Test in edio!

solving absolute value inequalities

You should be able to solve absolute value inequalities

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