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AutoSkill Solve Absolute Value Equations

Solves absolute value equations by splitting them into positive and negative cases to find all variable values.

install
source · Clone the upstream repo
git clone https://github.com/ECNU-ICALK/AutoSkill
Claude Code · Install into ~/.claude/skills/
T=$(mktemp -d) && git clone --depth=1 https://github.com/ECNU-ICALK/AutoSkill "$T" && mkdir -p ~/.claude/skills && cp -r "$T/SkillBank/ConvSkill/english_gpt3.5_8_GLM4.7/solve-absolute-value-equations" ~/.claude/skills/ecnu-icalk-autoskill-solve-absolute-value-equations && rm -rf "$T"
manifest: SkillBank/ConvSkill/english_gpt3.5_8_GLM4.7/solve-absolute-value-equations/SKILL.md
source content

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