Q: Write in tabular and set builder form (1) A= set of four provinces ...
Set of Four Provinces of Pakistan: A
The set A represents the four provinces of Pakistan, which are Punjab, Sindh, Khyber Pakhtunkhwa (KPK), and Balochistan. These provinces are administrative divisions of the country and play a significant role in its governance, cultural diversity, and economic development.
Tabular Form:
| Provinces of Pakistan |
|----------------------|
| Punjab |
| Sindh |
| Khyber Pakhtunkhwa |
| Balochistan |
Set Builder Form:
A = {x | x is a province of Pakistan, x ∈ {Punjab, Sindh, Khyber Pakhtunkhwa, Balochistan}}
Explanation:
1. Provinces of Pakistan:
- Punjab: Punjab is the largest province of Pakistan in terms of population and is known as the "Land of Five Rivers." It is located in the northeastern part of the country and is known for its fertile agricultural lands, historical sites, and cultural heritage.
- Sindh: Sindh is the second-largest province of Pakistan and is situated in the southeastern part of the country. It is famous for its rich history, ancient civilization, and bustling city of Karachi, which is the economic hub of Pakistan.
- Khyber Pakhtunkhwa (KPK): KPK is located in the northwestern region of Pakistan and is known for its scenic beauty, mountains, and diverse cultural heritage. It is home to the Khyber Pass, which is a historic trade route connecting Pakistan with Afghanistan.
- Balochistan: Balochistan is the largest province in terms of land area and is situated in the southwestern part of Pakistan. It is known for its arid landscape, natural resources, and unique Balochi culture.
2. Set A:
The set A represents the collection of these four provinces of Pakistan, namely Punjab, Sindh, Khyber Pakhtunkhwa, and Balochistan. It is denoted by A = {x | x is a province of Pakistan, x ∈ {Punjab, Sindh, Khyber Pakhtunkhwa, Balochistan}}. This means that any element (x) in set A must be a province of Pakistan, and the set A contains only these four provinces.
Summary:
In summary, the set A represents the four provinces of Pakistan, namely Punjab, Sindh, Khyber Pakhtunkhwa, and Balochistan. These provinces are the major administrative divisions of the country and contribute significantly to its cultural diversity, economic development, and governance. The set A can be represented in tabular form as a list of provinces or in set builder form, where x represents any province of Pakistan.