SOLUTION: Will this inequality work in this form? So I have two seperate answers: x>14 and x<-3. Will it work if I wrote -3>x<14 and if not, how do I properly write down the answer? If gi

Algebra ->  Graphs -> SOLUTION: Will this inequality work in this form? So I have two seperate answers: x>14 and x<-3. Will it work if I wrote -3>x<14 and if not, how do I properly write down the answer? If gi      Log On


   

Question 1046911: Will this inequality work in this form?
So I have two seperate answers: x>14 and x<-3. Will it work if I wrote -3>x<14 and if not, how do I properly write down the answer? If giving example, could you use the example of x≥-11/2 and x≤5/2.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Think logically and represent these two inequalities on a number line. Look in your book and pay attention to the terminology, "disjoint" and "conjoint".

How do you want to indicate the combination of the first two inequalities? Are you looking for both together, or are you looking for what they have in common? Are you having difficulty reading the order-relation symbol?


When you speak the symbolized statement -3%3Ex%3C14, you would say, "Negative three is greater than x which is less than fourteen". Does that make sense? 

x%3E14

-------------------|-------------|------------------------------------------()============>
                   -3            0                                          14



x%3C-3

<==================()------------|------------------------------------------|---
                  -3             0                                          14


Combine the two inequalities using AND. This is to state the two inequalities for what numbers on the line that they both have in common.
NOTHING! Empty Set. No intersection. No solution.