# Sec-17 - Math 1300 Section 1.7 Notes Solving Linear...

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Math 1300 Section 1.7 Notes 1 Solving Linear Inequalities An inequality is similar to an equation except instead of an equal sign “=” you find one of the following signs: <, , >, or . Now > and < are strict inequalities, and and are inequalities that include equals (read these last two signs as ‘greater than or equal to’ and ‘less than or equal to,’ respectively). The solutions will be different because a linear equation has one, none, or many solutions. A linear inequality has a solution that is over an interval and the answers are in what is called interval notation . This ensures that you have the complete answer. In this section, we will only be concerned with real number solutions. Interval Notation: Inequality Interval Notation A x < ( A , - The rounded bracket means that A is not included A x ( ] A , - The square bracket means that A is included B x ( , B B x [ , B B x A < < ( B A , B x A [ ] B A , Intervals and the Number Line

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