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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∧x ^{2}=2}**

SOLUTION:

The set of a rational numbers x satisfying x^{2}=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':