x Check: p. C) 32 8k D) 3t 15

Transcription

1 Chapter Notes Alg H -A (Lesson -&) Solving Inequalities p. 0-0 A) n B) Check: 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: Ch Notes Alg H

2 -A (Lesson -) 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 Alg H

3 -A (Lesson -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 p. #) p p p Ch Notes Alg H

4 -A (Lesson -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 Alg H

5 -A (Lesson. Heath) Word Problems with Linear Inequalities Heath p. -00 Tetbook E. : rate of change is the same as needed to get slope Whole milk: Low-fat Milk: The consumption of low-fat milk that of whole milk from. Tetbook E. : = ( ) = Ch Notes Alg H

6 -A (Lesson -A) Solving Absolute Value Equations p. - Absolute-value: distance from Smbol: Absolute-value equation: the is within the absolute value bars: 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 Ch Notes Alg H

7 Alwas Isolate the Absolute Value term first!!!!!! E. C) D) Check: Check: p. E. Write an open sentence (absolute value equation) from a graph: Find the Find the from the midpoint to the ends. Equation is: midpoint distance or ideal variance A) B) (etra eample Do p. # HEATH p. (See e. in tetbook) Communicating about Algebra A. B. C. 0 Ch Notes Alg H

8 -A (Lesson -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: Ch Notes Alg H

9 B) f Domain: Range: C) f Domain: Range: Minimum and Maimum Values: Ch Notes Alg H

10 -A (Lesson -A) Solving Absolute-Value Inequalities p. - Tpes of absolute-value inequalities: o And tpe: ; graph is values o Or tpe: ; graph is values to solve: use the and case of the epression inside the and solve it twice. A) n A) k B) p. CYU #,,,, Etra E. ) c ) ) w ) g Etra E.) Ch Notes Alg H

11 -A (Lesson -B) Tpes of Absolute-Value Inequalities p. - Concept Summar: If n, then n or n. If n, then n n. If n, then n or n. If n, then there is. If n, then the solution is. B) B) r p. #,, Heath Communicating about Algebra p. a b c a b c b: c: A) B) - - In the above eamples, we transformed a inequalit into an inequalit. Ch Notes Alg H

12 -A (Lesson -) 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) Ch Notes Alg H

13 E) F) p. # Will the coach be able to bu pizzas and pitchers of drinks? Ch Notes Alg H

14 -A (Lesson -) 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) Ch Notes Alg H

15 p. #- Use a sstem to solve: variables and inequalities. Name possible solutions: Ch Notes Alg H