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