Exercise 1C
1. Draw a Venn diagram for the following sets.
(i) Set of names of 5 boys starting with A and set of names of 5 girls starting with S
Universal Set
𝑈
= {Ahmed, Arshad, Asim, Arif, Aslam, Sara, Saba, Sanam, Shazia, Soniya, Bilal, Saleem, Raza, Anum, Hassan,
Set A
𝐴 = {Ahmed, Arshad, Asim, Arif, Aslam}
Set B
𝐵 = {Sara, Saba, Sanam, Shazia, Soniya}
U
+--------------------------------------------------+
Bilal
Saleem
Raza
_________
/
/
\
A
/
\
B
|
| Arshad
|
| Asim
| Aslam
\
/
| Ahmed
| Arif
_________
|
|
\
| Sara
|
| Saba
|
| Sanam
| Shazia
|
| Soniya
\___________/
|
|
|
\___________/
B
Sara Saba
Sanam Shazia
Soniya
Anila
Saeed
Sonia
Razia
Ayesha
Anum
Hassan
+--------------------------------------------------+
(ii) Students in your class who live in flats and those who live in houses
Universal Set
𝑈 = {Ali, Ahmed, Bilal, Saad, Hamza, Umar, Danish, Rizwan, Hassan, Fahad, Ayesha, Fatima}
Flats
𝐹 = {Ali, Ahmed, Bilal, Saad}
Houses
𝐻 = {Hamza, Umar, Danish, Rizwan}
U
+--------------------------------------------------+
Hassan
Fahad
_________
/
\
_________
/
\
/ Flats
\
/ Houses \
| Ali
|
| Hamza
| Ahmed
| Bilal
|
|
|
| Umar
| Danish
|
|
| Saad
|
| Rizwan
\___________/
|
\___________/
Ayesha
Fatima
+--------------------------------------------------+
(iii) Animals that eat plants and animals that eat meat
Universal Set
𝑈 = {Cow, Goat, Horse, Deer, Rabbit, Lion, Tiger, Leopard, Wolf, Fox, Camel, Dog}
Plant-eating Animals
𝑃 = {Cow, Goat, Horse, Deer, Rabbit}
Meat-eating Animals
𝑀 = {Lion, Tiger, Leopard, Wolf, Fox}
U
+--------------------------------------------------+
Camel
Dog
_________
/
/ Plant
\
_________
/
\
\
/ Meat
\
|
| Cow
|
| Lion
| Goat
|
| Tiger
| Horse
|
| Leopard
| Deer
|
| Wolf
|
|
|
| Rabbit
|
| Fox
\___________/
|
\___________/
+--------------------------------------------------+
(iv) Four Presidents of Pakistan and four Presidents of America
Universal Set
𝑈
= {Ayub Khan, Iskander Mirza, Asif Ali Zardari, Arif Alvi, George Washington, Abraham Lincoln, Barack Obam
Pakistan
𝑃 = {Ayub Khan, Iskander Mirza, Asif Ali Zardari, Arif Alvi}
America
𝐴 = {George Washington, Abraham Lincoln, Barack Obama, Joe Biden}
U
+--------------------------------------------------+
_________
/
\
_________
/
\
/ Pakistan \
/ America \
| Ayub Khan |
| Washington |
| Iskander
| Lincoln
|
|
| Obama
|
| Arif Alvi |
| Biden
| Zardari
|
\___________/
|
\___________/
+--------------------------------------------------+
(v) Five cities in Sindh and five cities in Punjab
Universal Set
𝑈
= {Karachi, Hyderabad, Sukkur, Larkana, Mirpur Khas, Lahore, Multan, Faisalabad, Rawalpindi, Gujranwala, Q
Sindh
𝑆 = {Karachi, Hyderabad, Sukkur, Larkana, Mirpur Khas}
Punjab
𝑃 = {Lahore, Multan, Faisalabad, Rawalpindi, Gujranwala}
U
+--------------------------------------------------+
Quetta
Peshawar
_________
/
\
/ Sindh
| Karachi
_________
/
\
\
/ Punjab
|
| Lahore
| Hyderabad |
\
|
| Multan
|
| Sukkur
|
| Faisalabad |
| Larkana
|
| Rawalpindi |
| Mirpur Khas |
\___________/
| Gujranwala |
\___________/
+--------------------------------------------------+