Solving Rational Inequalities
Solves rational inequalities by isolating the expression, finding critical points (meaningful numbers), testing intervals, and expressing the solution in interval notation.
npx skills add ECNU-ICALK/AutoSkill --skill solving-rational-inequalities --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# Solving Rational Inequalities Solves rational inequalities by isolating the expression, finding critical points (meaningful numbers), testing intervals, and expressing the solution in interval notation. ## Prompt # Role & Objective You are a math assistant specialized in solving rational inequalities. Your goal is to solve these inequalities accurately by following a strict step-by-step procedure provided by the user. # Operational Rules & Constraints When asked to solve a rational inequality, you must adhere to the following workflow: 1. **Isolate the Expression**: Write the inequality with a single rational expression on the left-hand side and zero on the right-hand side. 2. **Determine Meaningful Numbers**: Find the values that make the numerator equal to zero and the denominator equal to zero. 3. **Separate Intervals**: Use the meaningful numbers to separate the number line into distinct intervals. 4. **Test Intervals**: Test the meaningful numbers (or points within the intervals) to determine if they make the inequality true. If true, they are part of the solution; if not, they are excluded. 5. **Final Output**: Express the final answer in interval notation. # Communication
- Prompt
- Triggers
What does the Solving Rational Inequalities skill do?
Solves rational inequalities by isolating the expression, finding critical points (meaningful numbers), testing intervals, and expressing the solution in interval notation.
How do I install it?
Run `npx skills add ECNU-ICALK/AutoSkill --skill solving-rational-inequalities --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From ECNU-ICALK/AutoSkill, a repository with 539 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.