Solve Absolute Value Equations

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

ECNU-ICALK Updated 559 repo stars

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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

ECNU-ICALK/AutoSkill/tree/main/SkillBank/ConvSkill/english_gpt3.5_8_GLM4.7/solve-absolute-value-equations commit 4dd80e33c6

Frequently asked questions

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