SOLUTION: The sets D and E are defined as: D= {y|y < 2} and E= {y|y &#8805; 7} How would I write this using interval notation? D &#8745; E = ? D &#8746; E = ?

Algebra ->  Rational-functions -> SOLUTION: The sets D and E are defined as: D= {y|y < 2} and E= {y|y &#8805; 7} How would I write this using interval notation? D &#8745; E = ? D &#8746; E = ?       Log On


   



Question 993270: The sets D and E are defined as: D= {y|y < 2} and E= {y|y ≥ 7}
How would I write this using interval notation?
D ∩ E = ?
D ∪ E = ?

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Draw D and E on number lines

D:

<===============○------------------------------
-3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12

E:

-------------------------------●==============>
-3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12

D ∩ E = ?

That asks for the set of numbers which the two graphs
have in common.  They have NO elements in common, so
the interval notation is () or the empty set ⌀. 

D ∪ E = ?

That asks for the set of numbers which are part of
either or both sets.  So we put the two graphs together
on the same number line and get

<===============○--------------●==============>
-3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12

The interval notation is

matrix%281%2C5%2C%22%28%22%2C-infinity%2C%22%2C%22%2C2%2C%22%29%22%29%22U%22matrix%281%2C5%2C%22%5B%22%2C7%2C%22%2C%22%2Cinfinity%2C%22%29%22%29

Edwin