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Unformatted text preview: Algebra 1 Unit 2: Learning Goals 2.1, 2.2 &amp; 2.3 Graphing and Analyzing One Variable Linear Inequalities Michelle A. OMalley League Academy of Communication Arts Greenville, South Carolina Learning Goal 2.1 Write and solve one, two, and multistep inequalities in one variable, and graph the solution set on the number line, including realworld applications. Learning Goal 2.1 Standards EA1.3: Apply algebraic methods to solve problems in realworld contexts EA4.8: Carry out procedures to solve linear inequalities for one variable algebraically and then to graph the solution EA5.12 Analyze given information to write a linear inequality in one variable that models a given problem situation. Learning Goal 2.1 Word Wall Words Inequality Greater than Less than Equal to Not equal to Solution set Infinite Discrete Continuous Inequality Review &gt; means greater than means greater than or equal to &lt; means less than means less than or equal to means is not equal to Proper way to read the above information would be 3 &lt; X means x is greater than 3 Solution Set A solution set of a linear inequality in one variable is the set of all values that satisfy the inequality. (The statement is true) Note: an inequality has an infinite number of solutions. ( Infinite means never ends) Discrete Vs. Continuous A domain may be discrete or continuous Discrete data is data that can be described by whole numbers or fractional values. Example : the data has an ending point such as whole numbers, which are not continuous or repeating. Continuous data is data that relate to a complete range of values on the number line. Example : The possible sizes of applies are continuous data Discrete Vs. Continuous The graph of a solution can be continuous on a number line (a ray). For example, at what temperatures will the ice in a skating pond remain frozen? The graph of a solution can also be discrete set of points on a number line. For example, a club must have 25 or more members. Graphing Inequalities &gt; means greater than &lt; means less than When the above two inequalities are graphed, the graph will show an open dot at the endpoint. This means that the value at that position is not included in the solution set....
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 Winter '08
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 Algebra, Inequalities, SEPTA Regional Rail, Jaguar Racing

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