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Solving Absolute Value Inequalities

HS: High School

Created on November 26, 2024

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Transcript

solving absolute value inequalities

Objective: solve absolute value inequalities

START

recall

Greater Than's are rewritten with OR

Less Than's are rewritten with AND

NEXT

steps

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

NEXT

steps

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

NEXT

3|x+4| < 33

NEXT

5|8-x|+7 > 22

NEXT

-4|x+1| - 18 < 6

NEXT

What's wrong here?

|x| < -10

What's strange here?

|x| > -10

NEXT

|x| < -10

An absolute value can never yield a negative value.

|x| > -10

An absolute value always yields a positive value.

NEXT

solving absolute value inequalities

You should be able to solve absolute value inequalities

Remember your Practice Test in edio!

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