Fsc Part 1 Mathematics (Complete Solution)

Q2
Write each of the following sets in the descriptive and tabular forms

(i){xlx∈N∧x≤10}

SOLUITON:

The set of the first ten natural numbers.

{1,2,3,..10}

(ii){xlx∈N∧4<x<12}

SOLUTION:

the set of natural numbers between 4 and 12.

{5,6,7,...,11}

(iii){xlx∈Z∧-5<x<5}

SOLUTION:

The set of integers between -5 and 5

{-4,-3,-2,...4}

(iv){xlx∈E∧2<x≤4}

SOLTUION:

The set of even integers between 2 and 5.

{4}

(v){xlx∈P∧x<12}

SOLUTION:

The set of prime numbers less than 12.

{2,3,5,7,11}

(vi){xlx∈O∧3<x<12}

SOLTUION:

The set of odd integers between 3 and 12.

{5,7,9,11}

(vii){xlx∈E∧4≤x≤10}

SOLUTION:

The set of even integers from 4 upto 10.

{4,6,8,10}

(viii){xlx∈E∧4<x<6}

SOLUTION:

The set of even integers between 4 and 6

{   }

(ix){xlx∈O∧5≤x≤7}

SOLUTION:

The set of odd integers from 5 upto 7.

{5,7}

(x){xlx∈O∧5≤x<7}

SOLUTION:

The set of odd integers between 5 and 7

{   }

(xi){xlx∈N∧x+4=0}

SOLUTION:

The set of natural numbers x satisfying x+4=0

{   }

(xii){xlx∈Q∧x2=2}

SOLUTION:

The set of a rational numbers x satisfying x2=2

{  }

(xiii){xlx∈R∧x=x}

SOLUTION:

The set of real numbers x satisfying x=x seet of real numbers.

(xiv){xlx∈Q∧x=-x}

SOLUTION:

The set of rational numbers x satisfying x=-x

{0}

(xv){xlx∈R∧x≠2}

SOLUTION:

The set of real numbers x satisfying x≠x

{  }

(xvi){xlx∈R∧x∉Q}

SOLUTION:

The set of real numbers x which are not rational, Q':

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