Fsc Part 1 Mathematics (Complete Solution)

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}

Other Topics

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