#
Q1

Write the following sets in set builder notation.

**(i) {1,2,3,....,1000} **

SOLUTION:

{xlx∈N∧x≤1000}

**(ii) {0,1,2,....,100} **

SOLUTION:

{xlx∈W∧x≤100}

**(iii) {0,±1,±2,....,1000} **

SOLUTION:

{xlx∈Z∧-1000≤x≤1000}

**(iv) {0,-1,-2,.....,-500} **

SOLUTION:

{xlx∈Z∧-500≤x≤0}

**(v) {100,101,102,.....,400} **

SOLUTION:

{xlx∈Z∧100≤x≤400}

**(vi) {-100,-101,-102,.....,-500} **

SOLUTION:

{xlx∈Z∧-500≤x≤-100}

**(vii) {Peshawar,Lahore,Karachi,Quetta}**

SOLUTION:

{xlx is the capital of a province of Pakistan}

**(viii) {January,June,July}**

SOLUTION;

{xlx is a month of the Calendar year beginning with J}

**(ix) the set of all odd natural numbers**

SOLUTION:

{xlx is an odd natural number}

**(x) The set of all rational numbers**

SOLUTION:

{xlx∈Q}

**(xi) The set of all real numbers between 1 and 2**

SOLUTION:

{xlx∈R∧1<x<1000}

**(xii) The set of all integers between -100 and 1000**

SOLUTION:

{xlx∈Z∧-100<x<1000}