Algebra › Section B · Solving linear equations and inequalities › Topic B.7
Absolute value equations and inequalities
Absolute value measures distance, so every equation or inequality containing it is secretly a question about how far a number sits from a centre. Answer it, and the problem splits into two ordinary cases.
In this topic
- Absolute value as distance
- Solving absolute value equations
- Worked example: a two-case equation
- Special cases: zero and negative targets
- Less-than: within a band
- Greater-than: outside the band
- The sandwich-or memory aid
- Tolerances and margins
- Worked example: a thermostat
- Common mistakes to avoid
- Key takeaways
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