Lesson: Inequalities and Interval Notation Mathematics

Students will be able to

• recognize the properties of inequalities over the real numbers—that is, for an inequality , we have
  • addition property ,
  • multiplication by a positive real number (if , then ),
  • multiplication by a positive 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.