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2-Precalculus:Homework:1.6:Notes
2-Precalculus:Homework:1.6:Notes
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Mathematics
01/25/2016

Term
 How do you solve a problem in this form?|-ax|=|b|
Definition
 1.) Set this problem as two problems.-ax=band-ax=-b----2.)Solve both equations for x.----3.)Set your solutions in a solution set.----
Term
 If "a" is a positive real number and if b is any algebraic expression, then |b|=|a| is equivalent to what?
Definition
 b=aorb=-a
Term
 How do you solve a problem in this form?|ax+b|-c=0
Definition
 1.)Add "c" to both sides.----2.)Set the problem as two problems.ax+b=candax+b=-c------3.)Solve both equations for x------4.)Set your solutions for x in a solution set.-----
Term
 How do you solve a problem in this form?|(x^2)-b|=0
Definition
 1.)Set the problem as(x^2)=b----2.)There are two solutionsThe squareroot of "b"and(The squareroot of "b")*(-1)----3.)Set both solutions in a solution set.----
Term
 How do you solve a problem in this form?|ax-b|=c
Definition
 1.)Set this problem as two problemsax-b=candax-b=-c----2.)Solve both equations for x----3.)Set your solutions in a solution set.----
Term
 How do you solve a problem in this form?|a-bx|=x-c
Definition
 1.)Set the problem as two problemsa-bx=x-canda-bx=(-x+c)----2.)Solve both equations for "x"----3.)Set both solutions in a solution set.-----
Term
 How do you solve a problem of this form?(|ax| < b)
Definition
 1.)Set the problem as (-b < ax < b)----2.)Set the problem as two problems(-b < ax)and (ax < b)-----3.)Solve both inequalities for "x"----4.)Set your solutions in a solution set ordered least to greatest.----
Term
 How do you solve a problem of this form?(|ax-b|
Definition
 1.)Set the problem as (-c
Term
 How do you solve a problem of this form?|a-bx|>c
Definition
 1.)Set the problem as two problemsa-bx<-canda-bx>c----2.)Solve both inequalities for "x"----3.)Set your solutions in interval notation(-infinity,lowest solution) Union (greatest solution,infinity)-----
Term
 How do you solve a problem in this form?|ax-b|=-c
Definition
 There is no solution, an absolute value equation cannot equal a negative solution.
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