Due to math content, this page has special requirements (including JavaScript) for full functionality.
With your current viewing scenario, it is not appearing and behaving as it is supposed to!
Please visit Dr. Carol J.V. Fisher's Homepage to learn what this site has to offer.
Watch the "Welcome" video to get started—hope to see you back here soon!
Dr. Carol J.V. Fisher's Homepage
For this exercise, you need
♥ INTERNET EXPLORER 6.0 and above, with MathPlayer installed.♥
SOLVING LINEAR INEQUALITIES INVOLVING FRACTIONS
Jump right to the exercises!
An example is given below.
For a complete discussion, read the text.
Remember: If you multiply or divide both sides of an inequality by a negative number,
then you must change the direction of the inequality symbol.
EXAMPLE:
Solve:
-
2
3
x
+
6
≤
1
Solution:
Write a nice, clean list of equivalent sentences.
It's usually easiest to clear fractions first:
|
-
2
3
x
+
6
≤
1
|
(original sentence) |
|
-2x+18
≤3 |
(clear fractions; multiply both sides by 3 ) |
|
-2x≤-
15 |
(subtract 18 from both sides) |
|
x
≥
15
2
|
(divide both sides by -2 ; change the direction of the inequality symbol) |
On this exercise, you will not key in your answer.
However, you can check to see if your answer is correct.