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The purposes of this research were to study mathematical problem-solving ability in inequality via problem posing activities and to study behaviors on problem-solving in inequality for Mathayomsuksa III students. The subjects of this study included thirty students in the second semester of the 2016 academic years from Phraharuthai Nonthaburi school. They were selected by using the cluster random sampling technique. Four of them were chosen as target students for case study in their behaviors on problem-solving in inequality. The experiment lasted for twelve fifty minutes period. One – Group Posttest-Only Design were used in this study. The research instruments included lesson plans via problem posing activities, the mathematical problem-solving ability in inequality test, and observation forms for mathematical problem-solving. The data were statistically analyzed using Z-Test for Population Proportion and behaviors analyzed using Artzt, Alice F.; & Armour-Thomas, Eleanor form. The results were as follow:
1. More than 60% of students participating in mathematics problem posing activities had ability in solving mathematical problems on inequality at the .05 level of significance.
2. Mathematical problem-solving behaviors of students participating in mathematics problem posing were expressed in three dimensions: Understanding the problem, Exploring and Planning, and Implementing.
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