Lesson: Inequalities and Interval Notation Mathematics • Second Year of Preparatory School

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In this lesson, we will learn how to solve simple and compound linear inequalities and how to express their solutions using interval notation.

Students will be able to

recognize the properties of inequalities over the real numbers—that is, for an inequality we have
- addition property where is a real number,
- multiplication by a positive real number (if then ),
- multiplication by a negative real number (if then ),
solve simple inequalities and represent their solutions on a number line and in interval notation,
solve more complicated inequalities, including compound inequalities, and represent their solutions on a number line and in set notation,
solve inequalities including radical coefficients.