Linear Systems Ch. 3.3 Systems of Inequalities EQ: How can I solve systems of inequalities? I will solve systems of inequalities.

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Presentation transcript:

Linear Systems Ch. 3.3 Systems of Inequalities EQ: How can I solve systems of inequalities? I will solve systems of inequalities.

Compare and Contrast Explain how the substitution method for solving a system of equations differs from the elimination method. EQ: How can I solve systems of inequalities? I will solve systems of inequalities. Bell Work

Good luck! EQ: How can I solve systems of inequalities? I will solve systems of inequalities. Quiz

READ This lesson extends what you know about graphing inequalities and systems of equations to solving systems of inequalities. A system of two linear inequalities divides the plane in to 4 parts:  Points that satisfy one inequality but not the other.  Points that satisfy the other inequality but not the first.  Points that satisfy both inequalities  Points that satisfy neither of the inequalities The solution of a system of linear inequalities is the section of the plane where the points satisfy both inequalities. EQ: How can I solve systems of inequalities? I will solve systems of inequalities. Systems of Inequalities

EQ: How can I solve systems of inequalities? I will solve systems of inequalities. Solving a system of inequalities

EQ: How can I solve systems of inequalities? I will solve systems of inequalities. Solving a system of inequalities

Now you try… EQ: How can I solve systems of inequalities? I will solve systems of inequalities. Solving a system of inequalities

 How is a system of inequalities different from a system of linear equations? EQ: How can I solve systems of inequalities? I will solve systems of inequalities. Stop and talk…

EQ: How can I solve systems of inequalities? I will solve systems of inequalities. Solving a linear/absolute-value system

EQ: How can I solve systems of inequalities? I will solve systems of inequalities. Solving a linear/absolute-value system

 What is an absolute value system?  How would you graph an absolute value system? EQ: How can I solve systems of inequalities? I will solve systems of inequalities. Stop and talk…

 Pg. 146 (10-13, 22-25, 31-34)  Pg. 153 (11-14) (use colored pencils to do the shading) EQ: How can I solve systems of inequalities? I will solve systems of inequalities. Practice (if time)

(On your bell sheet) Compare and Contrast Explain how the graphical solution of a system of inequalities is different from the graphical solution of a system of equations. EQ: How can I solve systems of inequalities? I will solve systems of inequalities. Closure