Chapter 6 Class Notes 6-1 Solving Inequalities Using Addition and Subtraction p n 1

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Chapter Class Notes Alg. CP - Solving Inequalities Using Addition and Subtraction p.. t. a. n. r r - Solving Inequalities Using Multiplication and Division p. 0-0 A) n B) n A) B) p When ou multipl or divide b a number, ou must the inequalit sign! A) r B) g 0 C) k D) t Points: at least E: I have at least $0 in m wallet. at most E: I can fit people at most in m car. Ch. Notes CP

- Solving Multi-Step Inequalities p. 0- ) A) w B) ) A) z z B) h h If solving an inequalit results in a statement, the solution is. If solving an inequalit results in a statement, the solution is. A) c c B) m m Ch. Notes CP

-A Solving Compound Inequalities Involving And p. - compound inequalit: inequalities b the word or the word. And tpe: graph is the of the graphs of the inequalities; can be found b graphing each and determining where the A) a and a 0 B) p and p (Rewrite each of the compound inequalities with the variable between the smbols.) Check our Understanding p. #- ) a and a ) and ) w and w Ch. Notes CP

-B Solving Compound Inequalities Involving Or p. - Or tpe: graph is the of the graphs of the inequalities its solution is a solution of inequalit can be found b each A) a or a B) or (If necessar, rewrite each of the compound inequalities in numerical order.) Check our Understanding p. #- ) n or n- ) z or z ) ) Ch. Notes CP

-A Solving Absolute Value Equations p. - Absolute-value: distance from Smbol: Absolute-value equation: the is within the absolute value bars; form: Solving an absolute-value equation: o For c 0, is a solution of a b c if is a solution of: or o For c < 0, the absolute-value equation a b c has, since absolute value alwas indicates a number that is not. A) B) n Do p. #- ) r ) ) n

Alwas Isolate the Absolute Value term first!!!!!! E. C) D) Check: Check:

-B Graphing Absolute Value Functions p.. Find the of the verte. Ask, What makes the epression within the (absolute value bars) equal? E: f f f. Make a. Put the -coordinate of the in the center. Choose some values of to the and.. Complete the -values.. Plot the points. It will make a graph. A) f - - - - - - - - - - - - - - - - - - - - Domain: Range:

B) f - - - - - - - - - - - - - - - - - - - - Domain: Range: C) f - - - - - - - - - - - - - - - - - - - - Domain: Range: Minimum and Maimum Values:

Stud Guide for Absolute Value Equations Chapter Alg. CP Tpe of Problem How to Solve Write equations; No solution can t have a answer unless there is a neg. sign in front of the Solve Write equations and ; the ab. value term (subtract ); Then write equations and solve; Graph. Find the of the verte; (makes the epression within the equal 0).. Make a of values (verte in center; values less and greater).. each value into equation to determine values.. Graph is.

- Graphing Linear Inequalities in Two Variables p. - Linear inequalit: can be written as: Graphing a linear inequalit: Graph. Use a for > or <. Use a for or. Test an in one of the half-planes. Shade the containing the solution. A) B) - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - C) D) - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

E) F) - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - p. # Will the coach be able to bu pizzas and pitchers of drinks?

- Graphing Sstems of Inequalities p. - Sstem of inequalities: inequalities with the same ; solved together Solution of a sstem: a region of a that shows the or of the graphs of the inequalities. A) B) - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - C) D) - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

p. #- Use a sstem to solve: variables and inequalities. Name possible solutions: