Notre Dame of Midsayap College
Midsayap, Cotabato
CSE
/ IT / IS 214 Assignment
April
24, 2012
I. Give the truth table corresponding
to the following statements.
1. ( (p V ~p ) ^ q ) ---> ( p <---> q ) 2. ( p
V q ) <---> ( q ^ ( p ^ ~p))
II. Give the elements of the following sets by
listing.
1. { x | x
is an integer, x 2 – 4
= 0 }
2. { x | x
is a real number, x 2 +
6 = 2 }
3. { x | x
is an integer, x 2 – 18 = – 2 }
4. { x | x
is an integer, 2x = 4x + 2 }
5. { x | x
is a real number, 2x = 2x + 2 )
6. { x | x are the first three planets of the
solar system }
7. {
x | x is an integer, 2x 2 –
6x = 36 }
8. { x | x are prime numbers, 20 < x < 40 }
9. { x | x is an integer, 3x – 18 = 0 }
10. { x | x are presidents of the Phil. from 1984 to
the present }
III. Solve the following problems. ( 40
pts )
1. In a survey of 500 cable TV viewers
the following data were obtained : 285 watch
soccer ( S ) games, 195 watch boxing ( X ), and 115 watch basketball ( B ), 45 watch
soccer and basketball, 70 watch soccer and boxing, 50 watch boxing and
basketball
games and 40 do not watch any of the
3 games. (a ) How many people in the survey
watch all the 3 kinds of sports? ( b ) How many people exactly watch one
sports only?
c) How many people exactly watch two sports
only ?
Draw a Venn diagram and fill all the 8
regions.
2. a)
Determine the complement of A union B if
A = { 2 , 4 , 5 , 8
, 9 ,
10, 14 } , and
B = ( 1, 2, 4,
7, 10, 12 ) and U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16 }.
b) Determine the complement of A intersection B if A =
{10, 11, 12, 14, 16, 18, 19, 20 } ,
B = {
10, 11, 12, 16, 18, 19 } and U = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20
}.
E N D
To be submitted on April 26, 2012 at
5:00 PM
“Your education is a failure no matter how
much it has done for your mind
if
it has failed to open your heart”
- If rain Can hear
’12
