The sets "F" and "H" are defined as follows:
F = { y | y > 4}
H = { y | y <= 8}
Write F n H and F U H using interval notation.
It's possible the set could be empty. If it is, then shoot. I'm dumb.
For a more detailed format, please see:
http://screencast.com/t/w2BWaYzan
Thanks so much in advance!!!
F = { y | y > 4}
H = { y | y <= 8}
Write F n H and F U H using interval notation.
It's possible the set could be empty. If it is, then shoot. I'm dumb.
For a more detailed format, please see:
http://screencast.com/t/w2BWaYzan
Thanks so much in advance!!!
-
Using interval notation for set F we write:
(4 , +∞)
since y > 4 means any real number greater than 4 all the way to infinity
(notice we do not bracket the 4 here since y > 4 means do not include 4)
Using interval notation for set H we write:
(-∞ , 8]
since y <= 8 means any real number less than or equal to 8 all the way to negative infinity
(notice we bracket the 8 here since y <= 8 means include 8)
(notice also that we never bracket infinity)
Hence
F n H = (4 , +∞) n (-∞ , 8] = (4 , 8 ]
since F intersections H in this zone
F U H = (4 , +∞) U (-∞ , 8] = all real numbers = (-∞ , +∞)
since F and H are combined together (united)
(4 , +∞)
since y > 4 means any real number greater than 4 all the way to infinity
(notice we do not bracket the 4 here since y > 4 means do not include 4)
Using interval notation for set H we write:
(-∞ , 8]
since y <= 8 means any real number less than or equal to 8 all the way to negative infinity
(notice we bracket the 8 here since y <= 8 means include 8)
(notice also that we never bracket infinity)
Hence
F n H = (4 , +∞) n (-∞ , 8] = (4 , 8 ]
since F intersections H in this zone
F U H = (4 , +∞) U (-∞ , 8] = all real numbers = (-∞ , +∞)
since F and H are combined together (united)