|
|
|
|
Linear Inequalities
|
Solving
compound (double) inequalities |
|
|
Equations
with Rational Expressions |
|
Solving rational
equations |
|
Rational
equations - Linear equations |
|
|
|
|
|
|
| Solving
compound (double) inequalities |
| Use the same procedure to solve a compound inequality as for solving single inequalities. |
| Example:
-4
< 2(x
- 3)
< 5 |
|
|
Solution: We want the x alone as middle term and only constants in the two outer terms. Remember,
while simplifying given compound inequality, the operations that we apply to a middle term we
should also do to the both left and right side of the inequality. |
|
|
|
|
|
|
|
| Example: |
 |
|
|
Solution: |
|
|
|
|
|
|
Equations
with rational expressions
|
|
Solving rational
equations
|
|
To solve an equation with rational
expressions (fractions), determine the lowest common denominator
(LCD) of all rational expressions in the equation and multiply
each term of both sides of the equation by the common denominator
to eliminate fractions.
|
|
Then, solve the equation that remains. Note, check for extraneous
solutions.
|
|
The extraneous solutions are values
that cause any denominator in the equation to be 0. So, these
values have to be excluded from the solution.
|
|
|
|
Rational
equations - Linear equations
|
| Example:
Solve the following
rational equations.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
College
algebra contents A
|
|
|
 |
|
| Copyright
© 2004 - 2020, Nabla Ltd. All rights reserved. |
