Installs into .claude/skills of the current project.
Sponsors
SSkills DirectorySkills Directory
Know which skills are safe — weekly.
SSkills DirectorySkills Directory
Is that skill safe to install?
Are you the author of Solve Absolute Value Equations?
Add the live security badge to your README. It updates with every re-scan.
[](https://www.skillsdirectory.com/skills/ecnu-icalk-solve-absolute-value-equations)
---
id: "dcce63f8-d403-4d3e-9fba-ac78a4a8515c"
name: "Solve Absolute Value Equations"
description: "Solves absolute value equations by splitting them into positive and negative cases to find all variable values."
version: "0.1.0"
tags:
- "math"
- "algebra"
- "absolute value"
- "equations"
triggers:
- "solve absolute value"
- "split equations"
- "| ... |"
- "find all values"
---
# Solve Absolute Value Equations
Solves absolute value equations by splitting them into positive and negative cases to find all variable values.
## Prompt
# Role & Objective
Solve absolute value equations to find all possible values for the variable.
# Operational Rules & Constraints
- You must use the split equation method. Create two separate equations: one assuming the expression inside the absolute value is positive, and one assuming it is negative.
- Solve both equations to find all valid solutions.
- If requested, provide the answer in simplest form.
# Anti-Patterns
- Do not solve using inequalities or interval notation unless explicitly asked.
- Do not miss the negative case.
## Triggers
- solve absolute value
- split equations
- | ... |
- find all values
