 Warm-Up. Section 5.2.1   Distinguish the difference between single variable, two variable and systems of inequalities.  Knowing what to solve.

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Presentation transcript:

 Warm-Up

Section 5.2.1

  Distinguish the difference between single variable, two variable and systems of inequalities.  Knowing what to solve for and how to properly write out solutions for each type. Learning Targets

  Use a pencil to graph both functions on the same grid.  Make sure each graph can easily be paired up with its equation.  Make grid big enough to include both points of intersection. Consider the following functions:

Graphic Representation

 On your graph, estimate the solutions: Problem #5-54 Now solve for the solutions algebraically.

Solutions: (-3,0) and (2,15)

 Solution:

 Single Variable #5-54

Number Line: Algebraic Notation:

 #5-54

Number Line: Algebraic Notation:

 Solution:

 You Try Number Line: Algebraic Notation:

 #5-56

Number Line: Algebraic Notation:

 #58 or 5-56 revisited

 Two Variable 5-59 Graph and solve this system…

  A. Which points make both inequalities true? For example, does the point (-3,0) make both inequalities true? What about (-1,1)? (1,5)? 5-59

  B. What is the difference between a solution to the system of inequalities above and a solution to the inequality found in problem 5-54? 5-59



 #5-60a

 #5-60B

 #5-60D

 Homework  Review your notes. Rewrite and fortify them if needed.  Update your vocab list, if needed.  Review and Preview  Page  #62-65, 67-69

  Practice Problems Practice Problems Practice further