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This research aims to analyze students‘ answer on solving rational and irrational inequalities. A qualitative method was used in this research. Data were collected from 42 students of 10th grade through the test consisted of 10 problems. For further identification, an interview was also conducted. The result showed that there were two groups of students‘ solution. The first one are students who used number line and the other one are students who solve directly without number line. In this article explained that there are six categories of student errors i.e. solving rational inequality like the equation, looking for zero maker in numerators and denominators of rational inequality with the inequalities following the question, errors arose from problems with factorisation, wrong in applying the property of distribution, ignoring irrational inequality rules, and misinterpreting the sign of inequality into a number line.