Equations and Inequalities Part 5: Writing & Graphing Inequalities

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Presentation transcript:

Equations and Inequalities Part 5: Writing & Graphing Inequalities Essential Question: How does the solution to an equation relate to the solutions of an inequality of the same nature? How can I represent the solution to an equation or inequality on a number line (graph)?

Think. Pair. Share. What is the solution to x = 5? What are some solutions to x > 5? Do you think it is possible to list every single solution to an inequality? Why or why not?

Is x ≥ 5 any different from x > 5? Why or why not? Think. Pair. Share. Is x ≥ 5 any different from x > 5? Why or why not?

Graphing You can represent the solution to an equation or an inequality by graphing it on a number line. X = 2 X > 2

Graphing Equation Solutions Equation Solutions – a point (a solid dot) A solid circle states that the solution is the dot’s value

Graphing Inequality Solutions Inequality Solutions – a point (solid or open) & an arrow

Examples of Inequality Solutions

Practice Graph x < 0 Graph x ≤ 1 Graph x = 8 Graph x > 7

Write and Graph an Inequality to represent the situation Tommy (t) has at least $52 No more than 300 students (s) can fit in the cafeteria Sue has more than 5 pencils (p) Abby has less than $12

Practice & Other Resources Holt Course 1 Chapter 2 Resource Book or Online Textbook (pages 76-77) http://www.coolmath-games.com/0-greaterthansudoku/index.html http://teachers.henrico.k12.va.us/math/hcpsalgebra1/module4-1.html