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':