Useful Facts to remember while doing a compound inequality:
1. You read left to right while doing an inequality
Please add on!
If you are a visual learner, a Venn diagram is useful to show you how to find the intersection of the two sets of numbers.
For example:
Example 1: Solve for 3 x + 2 < style="font-style: italic; ">x – 5 > –11
Solve each inequality separately. Since the joining word is “and,” this indicates that the overlap or intersection is the desired result.
x < style="font-style: italic; ">x > –3 indicates all the numbers to the right of –3. The intersection of these two graphs is all the numbers between –3 and 4. The solution set is
Another way this solution set could be expressed is
On the Venn diagram, You would put All numbers more than -3 in the first circle( at the left), all number in between -3 and four in the middle circle, and all numbers greater than 4 in the right circle!
When a compound inequality is written without the expressed word “and” or “or,” it is understood to automatically be the word “and.” Reading { x | − 3 < x < style="font-style: italic; ">x” position, you say (reading to the left), “ x is greater than –3 and (reading to the right) x is less than 4.” The graph of the solution set is shown in Figure 1 .
|
|
|
Figure 1 | x is greater than –3 and less than 4. |
|
|
Taken from:http://www.cliffsnotes.com/study_guide/Compound-Inequalities.topicArticleId-38949,articleId-38862.html
No comments:
Post a Comment
Note: Only a member of this blog may post a comment.