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.Com
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)   (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



Edwin
RELATED QUESTIONS

The sets E and F are defined as follows E={v|v>3} F={v|v<=6} Write E... (answered by richard1234)
C and D are sets of real numbers defined as follows. C={z /z > 1} D={z /z ≥... (answered by CubeyThePenguin)
D={y|y>4} E={y|y>=5} Write using interval notation. If the set is empty write... (answered by richard1234)
C and D are sets of real numbers defined as follows. C={x|x<4} D={x|x≥7} Write... (answered by ikleyn)
C and D are sets of real numbers defined as follows. C={x|x<4} D={x|x≥7} Write... (answered by ikleyn)
Graph the following and write using set-builder notation. X = {x|x ≥ -1} Y =... (answered by solver91311)
The sets B and C are defined as follows. B= {x| x >2} C= {x| x ≥ 6} Write... (answered by ikleyn)
I don't know how to set these up or solve these problems. Please help me with my... (answered by stanbon)
What is the solution set of y^2 - 2y ≤ 3y + 14? (A) y ≥ -2 (B) y ≤... (answered by Fombitz)