Mathematics
Absolute Value Inequalities
An absolute value inequality involves expressions like |x + a| < b. It's critical for understanding distances and tolerances in equations. ScanSolve provides a clear breakdown of cases and interval testing.
How to Approach Absolute Value Inequalities
Input the Inequality
Enter or upload a photo of an absolute value inequality, such as |x - 3| ≥ 5.
Identify Critical Points
ScanSolve helps find critical points where the absolute value changes to zero, e.g., x - 3 = 5 and x - 3 = -5.
Test Intervals for Solution
Check intervals between critical points to determine where the inequality holds true and graph the solution accordingly.
Frequently Asked Questions
What are absolute value inequalities?+
They compare the absolute value of an expression to a number, like |x + a| < b or |x - 2| ≥ 4.
How are solutions graphed?+
Solutions are graphed on a number line, indicating intervals where the inequality holds.
Why test intervals?+
Interval testing ensures each segment between critical points satisfies the inequality, verifying solutions.
Stuck on a Absolute Value Inequalities problem?
Snap a photo or type the question. ScanSolve walks you through every step — same as the worked examples above. 5 free solves per day, no card required.